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    OlympiadMediumCombinatorics7–9

    How many paths from (0,0)(0,0) to (3,2)(3,2) moving only right or up?

    Quantos caminhos de (0,0)(0,0) a (3,2)(3,2) movendo apenas direita ou cima?

    Answer options

    Solution

    (3+22)=(52)=10\binom{3+2}{2} = \binom{5}{2} = 10.