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Combinations with Replacement Calculator

How does the Combination with Variable Calculator work?

Calculates the following:
Solves for r given n and the combination value.
Solves for n given r and the combination value
This calculator has 1 input.
What 2 formulas are used for the Combination with Variable Calculator?

nPr=n!/r!
nCr=n!/r!(n-r)!

What 3 concepts are covered in the Combination with Variable Calculator?

combination
a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
nPr = n!/r!(n - r)!

factorial
The product of an integer and all the integers below it

variable
Alphabetic character representing a number

Example calculations for the Combination with Variable Calculator

C(9,r) = 126
9Cr = 126
C(n,3) = 165
nC3 = 165