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Math Help - Average number, combinatorics

  1. #1
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    Average number, combinatorics

    Please help me solve these problems.

    1. Nine boys and fourteen girls are arranged in a row in all possible ways. What is the average number of "neighbours" of opposite sex.

    2. Consider a family of all k-element subsets of a set \left\{ 1,2,......,2n\right\}. For every such set consider its smallest element. Find the average value of the smallest element in all k-element subsets.
    Last edited by wilhelm; November 30th 2012 at 06:31 AM.
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