Calculators > Discrete Mathematics > Combination Replacement Calculator

Combination with Replacement Calculator

Find the Combinations:
CR(n,r) where:
n =
r =
CR(1,1) = (1+1-1)! / 1! (1 - 1)! =
1
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Calculate the combinations with replacement for CR(n,r) = C(n+r-1,r) = (n+r-1)! / r! (n - 1)!. For n >= 0, and r >= 0.

Combination with Replacement Formula:

CR(n,r) = C(n+r-1,r) = (n+r-1)! / r! (n - 1)!

References

For more information on combinations and binomial coefficients please see http://mathworld.wolfram.com/Combination.html