Answers Combination With Repetition Calculator

How many 5 scoop combinations can you make from 4 flavors if repeats are allowed?

This is combination with repetition because order does not matter but the same flavor can appear more than once.

Exact result

56

4 choose 5 with repeats allowed is 56.

A bowl can repeat flavors, but rearranging the same scoops does not create a new combination.

Worked steps

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  1. Inputs: n = 4, r = 5
  2. Formula: C(n + r - 1, r) = (n + r - 1)! / (r!(n-1)!)
  3. Substitute: C(4 + 5 - 1, 5) = (4 + 5 - 1)! / (5!(4-1)!)
  4. Steps: 40,320 / (120 x 6)
  5. Result: 4 choose 5 with repeats allowed is 56.

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A bowl can repeat flavors, but rearranging the same scoops does not create a new combination.

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