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Math Help - Combination/Permutation problem

  1. #1
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    Combination/Permutation problem

    How many ways can 100 distinct bikes be stored in 4 distinct warehouses?

    From reading some old posts on this site, I think the answer is 100!
    ------
    4!4!4!4!
    Can someone please confirm.

    Now if the bikes are not distinct but the warehouses still are distinct?

    Again, if I have gleaned info from past posts the answer should be:

    c(100 + 4 - 1, 4-1) OR C(103,3) Please confirm or disconfirm. THank you!
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  2. #2
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    Quote Originally Posted by Frostking View Post
    How many ways can 100 distinct bikes be stored in 4 distinct warehouses?
    For each bike, there is a choice of four warehouses. So the total number of possible choices is 4^{100}.

    Quote Originally Posted by Frostking View Post
    Now if the bikes are not distinct but the warehouses still are distinct?

    Again, if I have gleaned info from past posts the answer should be:

    c(100 + 4 - 1, 4-1) OR C(103,3) Please confirm or disconfirm.
    That is correct.
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