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    OlympiadHardCombinatorics7–9

    How many ways can you choose 3 items from 7? ((73)\binom{7}{3})

    De quantas maneiras se podem escolher 3 itens de 7? ((73)\binom{7}{3})

    Answer options

    Solution

    (73)=7!3!4!=7×6×53×2×1=35\binom{7}{3} = \frac{7!}{3!4!} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35