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Stars and Bars Calculator

Use the stars and bars method to count ways to distribute identical items into distinct bins. Calculate C(n+k-1, k-1) combinations easily.

Number of Ways

66

Ways to distribute identical items into distinct bins

Formula

C(n+k-1, k-1) = C(10+3-1, 3-1) = C(12, 2) = 66

Items (Stars)

10

Bins (Groups)

3