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Thread: How many ways (permutation and combination question)?

  1. #1
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    Question How many ways (permutation and combination question)?

    In the 3-dimensional lattice; how many ways are there to go from the origin (0, 0, 0) to the point (6, 2, 4); when in a step starting from a point (x, y, z); I can move to (x + 1, y, z), to (x, y + 1, z) or (x, y, z + 1)?

    Twelve movements must occur.

    Ways from (0, 0, 0) to (6, 2, 4) = 12! / (6! 2! 4!).

    No other tricks to my answer?
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  2. #2
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    Re: How many ways (permutation and combination question)?

    You are correct.
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