Enter a number n and number r into the choose calculator. The combination calculator will return the value of n choose r.
Choose Formula
The following formula is used to calculate n choose r given two integers n and r.
C(n,r)=(nr)=n!/(r!(n−r)!)
- Where n is an integer
- r is an integer
- and ! is factorial
How to calculate a combination
- First, determine the number of options to choose from
This will be the number n in the formula above. It will be all the available options to choose from.
- Next, determine the number of options you wish to choose
This will be the number of objects or options you choose out of the total number of option.
- Calculate the combination
Calculate n choose r using the formula above.
FAQ
What is n choose r?
N choose r is another way of saying the mathematical operation of a combination.
What is a combination?
In mathematical terms, a combination is as it sounds, it’s a numerical operation that displays the total number of options to choose from given a set of objects or numbers. The combination will yield all possibly combinations of r integers from a set of n integers. For example, let’s say we have a set of numbers 1,2,3. We want to chose all possible combinations of 2 integers. This yields the following: 1,2 / 1,3 / 2,3 = 3 total combinations.
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