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The #1 Free Calculator, trusted 10+ years with M+ downloads.
Solve any math problem with a basic & scientific calc. Use it at work or at school on your iPhone & iPad.
Handy and convenient. Count on it whenever, wherever.
Featured by Digital Trends, Educational App Store, and many more in their top calculator apps.
Free in The Calculator
• Basic & Scientific Calculator
• History Tape: Save, Copy & Share Calculations
• 70+ Amazing Themes
• Edit Equation
• Dictate Equations
• Memory Banks
• Choose your Decimal Notation
• Calculate with Degrees or Radians
• Set the Number of Decimals
The Calculator supports:
• Voice Control • Dark Mode • Apple Watch • Drag and Drop • Split View
Have any questions? Please check out if the answers are available in the Frequently Asked Questions in the app Settings.
Have suggestions or unable to find the answers to your questions? Our support team is ready and happy to help at [email protected]!
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If you choose to purchase a subscription, payment will be charged to your Apple ID account, and your account will be charged within hours prior to the end of the free trial or current period. Subscription with a free trial period will automatically renew to a paid subscription. Any unused portion of a free trial period (if offered) will be forfeited when you purchase a premium subscription during the free trial period. You can cancel the automatic renewal of your subscription at any time by going to your settings in the iTunes & App Store after purchase. The cancellation will take effect the day after the last day of the current subscription period, and you will be downgraded to the free service.
Terms & Conditions: https://impalastudios.com/terms
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LIST OF MATHEMATICAL OPERATIONS
Addition, Subtraction, Division, Multiplication, Percentages, Square, Cubic Exponent, Nth Exponent, Square Root, Cubic Root, Nth Root, Engineering Exponent, Factorial, Power of Two, Power of Ten, Power of E, Natural Logarithm, Common Logarithm, Binary Logarithm, Sine, Cosine, Tangent, Arc Sine, Arc Cosine, Arc Tangent, Hyperbolic Sine, Hyperbolic Cosine, Hyperbolic Tangent, Hyperbolic ArcSine, Hyperbolic Arc Cosine, Hyperbolic ArcTangent, Multiplicative Inverse, Random Number Input
SHARE YOUR CALCULATION, WHEREVER YOU ARE
Having a great result with your calculation or currency conversion? Save time and send it to your contacts fast & simple… by sharing with the calculator!
EDIT EQUATION
You can edit both digits and operators of the current equation. You can place the edit cursor by tapping or using the arrows.
DICTATE & VOICE CONTROL
Make your daily work tasks faster and easier. Simply use your voice to dictate equations by tapping on the mic icon. Dictate works best when you speak naturally as if you were talking to another person.
Currently, Dictate supports only basic calculations.
*This feature requires ‘allow microphone access’ & Siri being enabled in Settings.
• WE LOVE FEEDBACK •
As always, we appreciate your feedback. Please keep sharing your experience to [email protected]
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Currency calculator
Currency calculator stopped working, said I was out of uses
What the heck !
Thank you for your feedback on our app and subscription model. We do our best to offer good value for our premium subscribers while still offering the regular app for free. We will take your feedback into account with this, and will consider it for future improvements.
If you have more feedback regarding the subscription model or the app in general, please feel free to contact us at [email protected]
Seriously?
Ok my iPhone have a free apple calc but I have to pay for one on my iPad? Or be harassed once this monstrosity loads with non stop analytical ads with geolocates you guys put a whole lotta thought into making things way more difficult than they have to be.
I'm inconvenienced to say the least I hope iPhone x craps out, and apple shares plummet lol.
I like my iPad, not impressed with apple right now tho.
Ads are so prevalent, it's impossible to use
This is an example of a very aggressive model for ads that ruins the user experience. Yes, I could purchase the adfree version, but within 5 minutes I was so annoyed that I removed the application. I can appreciate that the developers need to make money and I would gladly pay if they weren't so outrageously aggressive in forcibly placing ads that block calculations on screen.
Hi,
Our apologies for the advertisements in the ads. We are constantly working hard on maintaining and improving our app, so we can offer the best product to our users for free. Unfortunately we have to use advertisement in order to fund this. We do want to thank you for your feedback, we will use this to balance the amount of ads better in the future.
I would also like to point out that our ads should not block out any calculations on screen, so if this happened then it's most likely a bug. We would like to fix this as soon as possible, and could use your help in this. If could send us a screenshot of this happening to [email protected] that would be greatly appreciated.
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The developer, International Travel Weather Calculator, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer's privacy policy.
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Information
 Seller
 International Travel Weather Calculator
 Size
 MB
 Category
 Utilities
 Compatibility
 iPhone
 Requires iOS or later.
 iPad
 Requires iPadOS or later.
 iPod touch
 Requires iOS or later.
 Mac
 Requires macOS or later and a Mac with Apple M1 chip.
 Languages
English, Danish, Dutch, Finnish, French, German, Greek, Indonesian, Italian, Japanese, Korean, Malay, Norwegian Bokmål, Norwegian Nynorsk, Portuguese, Russian, Simplified Chinese, Spanish, Swedish, Thai, Traditional Chinese, Vietnamese
 Age Rating
 4+
 Copyright
 © Impala Studios
 Price
 Free
 InApp Purchases
 1 Month Premium Access$
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 Smart Currency & Fraction Calc$
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Family Sharing
Up to six family members will be able to use this app with Family Sharing enabled.
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Erlang Calculator  for Call Centre Staffing (Online Version )
Now with Week and Month Planner and Upload Facility
Statistics from All Erlang Calculations
Number of Erlang Calculations performed  

Past 24 Hours  Past Month  
3,  73, 
Average Values Entered  

AHT (Seconds)  
AHT (Minutes)  
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Average Target Answer Time (Seconds)  
Average Shrinkage  27% 
Average Max Occupancy  % 
Above figures include calls and other work tasks 
How To Use This Erlang Calculator
 If you have calls per hour, then enter the number of incoming contacts as and the period is 60 minutes.
 The Average Handling Time is the amount of time that a person (an agent) takes to handle a phone contact. This includes the talk time as well any paperwork time (wrapup time) before they are able to answer the next call. This should be in seconds.
 Put in your Service Level target and time. So if you wanted to handle 90% of calls in 15 seconds, put in 90 and If you are uncertain of this the industry "average" is 80% of calls answered in 20 seconds.
 This contact centre staffing Erlang calculator is a hybrid model based on both the Erlang C formula the Erlang A formula. The Erlang C formula was invented by the Danish Mathematician A.K. Erlang and is used to calculate the number of advisors and the service level. Call Abandons are calculated using the Erlang A formula which was devised by Swedish statistician Conny Palm in This assumes an Average Patience  also know as Average Time to Abandon (ATA).
 We also have a more flexible Microsoft Excel based version of this calculator. You can download the free Excel Erlang Calculator
 This calculator works on probabilities, so may appear to overstate the number of agents needed at low levels. So for example if you enter 0 calls per hour it will say that you need 1 agent. This is quite correct, as there may be a possibility that one call may come in. In practicality, you may decide to not schedule any staff.
 The maximum number of agents that the calculator can calculate before shrinkage is applied is 10, Agents.
 Shrinkage is a factor designed to take into account holidays, sickness etc. For more information Read this article on how to calculate shrinkage
 The maximum occupancy is designed to improve accuracy. If you take Occupancy over 85%  90% for long periods you will find that it gets hidden in a longer AHT figure, and agent burn out happens.
 Call Abandons are calculated using the Erlang A formula, which assumes an Average Patience also know as Average Time to Abandon (ATA).
 The Calculator can deal with up to 10, agents, thanks to some help with the maths from Philip Wright CEng – (Former Technical Director & CTO Europe at Aspect Telecommunications/Communications ).
Need To Include WebChat And Emails?
Need a MultiChannel calculator? Then use our free Multi Channel Calculator
Terms and Conditions
Use of the Erlang C Calculator is subject to our standard terms and conditions.Sours: https://www.callcentrehelper.com/tools/erlangcalculator/
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Calculator Use
The Combinations Calculator will find the number of possible combinations that can be obtained by taking a sample of items from a larger set. Basically, it shows how many different possible subsets can be made from the larger set. For this calculator, the order of the items chosen in the subset does not matter.
 Factorial
 There are n! ways of arranging n distinct objects into an ordered sequence, permutations where n = r.
 Combination
 The number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.
 Permutation
 The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed. When n = r this reduces to n!, a simple factorial of n.
 Combination Replacement
 The number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are allowed.
 Permutation Replacement
 The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are allowed.
 n
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 r
 subset of n or sample set
Combinations Formula:
\( C(n,r) = \dfrac{n!}{( r! (n  r)! )} \)
For n ≥ r ≥ 0.
The formula show us the number of ways a sample of “r” elements can be obtained from a larger set of “n” distinguishable objects where order does not matter and repetitions are not allowed. [1] "The number of ways of picking r unordered outcomes from n possibilities." [2]
Also referred to as rcombination or "n choose r" or the binomial coefficient. In some resources the notation uses k instead of r so you may see these referred to as kcombination or "n choose k."
Combination Problem 1
Choose 2 Prizes from a Set of 6 Prizes
You have won first place in a contest and are allowed to choose 2 prizes from a table that has 6 prizes numbered 1 through 6. How many different combinations of 2 prizes could you possibly choose?
In this example, we are taking a subset of 2 prizes (r) from a larger set of 6 prizes (n). Looking at the formula, we must calculate “6 choose 2.”
C (6,2)= 6!/(2! * ()!) = 6!/(2! * 4!) = 15 Possible Prize Combinations
The 15 potential combinations are {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {2,3}, {2,4}, {2,5}, {2,6}, {3,4}, {3,5}, {3,6}, {4,5}, {4,6}, {5,6}
Combination Problem 2
Choose 3 Students from a Class of 25
A teacher is going to choose 3 students from her class to compete in the spelling bee. She wants to figure out how many unique teams of 3 can be created from her class of
In this example, we are taking a subset of 3 students (r) from a larger set of 25 students (n). Looking at the formula, we must calculate “25 choose 3.”
C (25,3)= 25!/(3! * ()!)= 2, Possible Teams
Combination Problem 3
Choose 4 Menu Items from a Menu of 18 Items
A restaurant asks some of its frequent customers to choose their favorite 4 items on the menu. If the menu has 18 items to choose from, how many different answers could the customers give?
Here we take a 4 item subset (r) from the larger 18 item menu (n). Therefore, we must simply find “18 choose 4.”
C (18,4)= 18!/(4! * ()!)= 3, Possible Answers
Handshake Problem
In a group of n people, how many different handshakes are possible?
First, let's find the total handshakes that are possible. That is to say, if each person shook hands once with every other person in the group, what is the total number of handshakes that occur?
A way of considering this is that each person in the group will make a total of n1 handshakes. Since there are n people, there would be n times (n1) total handshakes. In other words, the total number of people multiplied by the number of handshakes that each can make will be the total handshakes. A group of 3 would make a total of 3() = 3 * 2 = 6. Each person registers 2 handshakes with the other 2 people in the group; 3 * 2.
Total Handshakes = n(n1)
However, this includes each handshake twice (1 with 2, 2 with 1, 1 with 3, 3 with 1, 2 with 3 and 3 with 2) and since the orginal question wants to know how many different handshakes are possible we must divide by 2 to get the correct answer.
Total Different Handshakes = n(n1)/2
Handshake Problem as a Combinations Problem
We can also solve this Handshake Problem as a combinations problem as C(n,2).
n (objects) = number of people in the group
r (sample) = 2, the number of people involved in each different handshake
The order of the items chosen in the subset does not matter so for a group of 3 it will count 1 with 2, 1 with 3, and 2 with 3 but ignore 2 with 1, 3 with 1, and 3 with 2 because these last 3 are duplicates of the first 3 respectively.
\( C(n,r) = \dfrac{n!}{( r! (n  r)! )} \)
\( C(n,2) = \dfrac{n!}{( 2! (n  2)! )} \)
expanding the factorials,
\( = \dfrac{1\times2\times\times(n2)\times(n1)\times(n)}{( 2\times1\times(1\times2\times\times(n2)) )} \)
cancelling and simplifying,
\( = \dfrac{(n1)\times(n)}{2} = \dfrac{n(n1)}{2} \)
which is the same as the equation above.
References
[1] Zwillinger, Daniel (EditorinChief). CRC Standard Mathematical Tables and Formulae, 31st Edition New York, NY: CRC Press, p. ,
For more information on combinations and binomial coefficients please see Wolfram MathWorld: Combination.
Calculator c
Permutation and Combination Calculator
Result
Permutations, _{n}P_{r} =  =  30 
Combinations, _{n}C_{r} =  =  15 
Permutations and combinations are part of a branch of mathematics called combinatorics, which involves studying finite, discrete structures. Permutations are specific selections of elements within a set where the order in which the elements are arranged is important, while combinations involve the selection of elements without regard for order. A typical combination lock for example, should technically be called a permutation lock by mathematical standards, since the order of the numbers entered is important; is not the same as , whereas for a combination, any order of those three numbers would suffice. There are different types of permutations and combinations, but the calculator above only considers the case without replacement, also referred to as without repetition. This means that for the example of the combination lock above, this calculator does not compute the case where the combination lock can have repeated values, for example,
Permutations
The calculator provided computes one of the most typical concepts of permutations where arrangements of a fixed number of elements r, are taken from a given set n. Essentially this can be referred to as rpermutations of n or partial permutations, denoted as _{n}P_{r}, ^{n}P_{r}, P_{(n,r)}, or P(n,r) among others. In the case of permutations without replacement, all possible ways that elements in a set can be listed in a particular order are considered, but the number of choices reduces each time an element is chosen, rather than a case such as the "combination" lock, where a value can occur multiple times, such as For example, in trying to determine the number of ways that a team captain and goalkeeper of a soccer team can be picked from a team consisting of 11 members, the team captain and the goalkeeper cannot be the same person, and once chosen, must be removed from the set. The letters A through K will represent the 11 different members of the team:
A B C D E F G H I J K 11 members; A is chosen as captain
B C D E F G H I J K 10 members; B is chosen as keeper
As can be seen, the first choice was for A to be captain out of the 11 initial members, but since A cannot be the team captain as well as the goalkeeper, A was removed from the set before the second choice of the goalkeeper B could be made. The total possibilities if every single member of the team's position were specified would be 11 &#; 10 &#; 9 &#; 8 &#; 7 &#; &#; 2 &#; 1, or 11 factorial, written as 11!. However, since only the team captain and goalkeeper being chosen was important in this case, only the first two choices, 11 &#; 10 = are relevant. As such, the equation for calculating permutations removes the rest of the elements, 9 &#; 8 &#; 7 &#; &#; 2 &#; 1, or 9!. Thus, the generalized equation for a permutation can be written as:
Or in this case specifically:
_{11}P_{2} =  =  = 11 &#; 10 = 
Again, the calculator provided does not calculate permutations with replacement, but for the curious, the equation is provided below:
_{n}P_{r} = n^{r}
Combinations
Combinations are related to permutations in that they are essentially permutations where all the redundancies are removed (as will be described below), since order in a combination is not important. Combinations, like permutations, are denoted in various ways, including _{n}C_{r}, ^{n}C_{r}, C_{(n,r)}, or C(n,r), or most commonly as simply
. As with permutations, the calculator provided only considers the case of combinations without replacement, and the case of combinations with replacement will not be discussed. Using the example of a soccer team again, find the number of ways to choose 2 strikers from a team of Unlike the case given in the permutation example, where the captain was chosen first, then the goalkeeper, the order in which the strikers are chosen does not matter, since they will both be strikers. Referring again to the soccer team as the letters Athrough K, it does not matter whether Aand then Bor Band then Aare chosen to be strikers in those respective orders, only that they are chosen. The possible number of arrangements for all npeople, is simply n!, as described in the permutations section. To determine the number of combinations, it is necessary to remove the redundancies from the total number of permutations ( from the previous example in the permutations section) by dividing the redundancies, which in this case is 2!. Again, this is because order no longer matters, so the permutation equation needs to be reduced by the number of ways the players can be chosen, Athen Bor Bthen A, 2, or 2!. This yields the generalized equation for a combination as that for a permutation divided by the number of redundancies, and is typically known as the binomial coefficient:_{n}C_{r} = 
Or in this case specifically:
_{11}C_{2} =  =  = 55 
It makes sense that there are fewer choices for a combination than a permutation, since the redundancies are being removed. Again for the curious, the equation for combinations with replacement is provided below:
_{n}C_{r} = 

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