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    OlympiadMediumCombinatorics7–9

    How many ways can you distribute 3 identical balls into 4 distinct boxes?

    De quantas formas podes distribuir 3 bolas idênticas em 4 caixas distintas?

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    Solution

    Stars and bars: (3+4−14−1)=(63)=20\binom{3+4-1}{4-1} = \binom{6}{3} = 20.