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Discrete-Math · Counting

10 choose 5

10,\ 5

Step by step

  1. \binom{10}{5} = \frac{10!}{5!\,(10-5)!}

    Unordered selections: n! / (k! (n−k)!).

  2. = \frac{3628800}{120 \times 120} = 252

Reveal the answer
\binom{10}{5} = 252