Answers Combination Calculator

What is 9 choose 4?

This is a standard combination without repetition because you are choosing 4 items from 9 and order does not matter.

Exact result

126

9 choose 4 without repeats is 126.

9 choose 4 counts unique groups of 4 drawn from 9 distinct items. Reordering the same 4 chosen items does not create a new group.

Worked steps

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  1. Inputs: n = 9, r = 4
  2. Formula: C(n, r) = n! / (r!(n-r)!)
  3. Substitute: C(9, 4) = 9! / (4!(9-4)!)
  4. Steps: 362,880 / (24 x 120)
  5. Result: 9 choose 4 without repeats is 126.

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9 choose 4 counts unique groups of 4 drawn from 9 distinct items. Reordering the same 4 chosen items does not create a new group.

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