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Ants problem involving combinatorics.

  1. Aug 31, 2011 #1
    1. There are x distinguishable ants and there are x pots full of food. Due to the smell, the ants arrange themselves in a circle on the circular rim of each pot. In how many ways can they do this?

    Any number of pots can be free of ants. For example all the ants can be on the circular rim of a single pot. and ,

    suppose, x = 3 and all the ants 1, 2 and 3 arrange themselves around a circle in clockwise as
    123, 231, 312 are considered equivalent. and counted as 1configuration.

    2. Relevant equations

    3. suppose, all the ants on a single rim of the pot, the number of configurations is (x-1)! but, cant extend it to more general case, which is the problem
  2. jcsd
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