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Thread: possble seating plans

  1. #1
    baz is offline
    Junior Member
    Apr 2010

    possble seating plans

    Seems simple one,but I have conflict on this with one of my friend.

    There are 5 chairs in a row, and three people. In how many ways can
    you place the people on the chairs? (each person must occupy exactly
    one chair, so that two chairs will remain free).

    My answer p(5,3)
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  2. #2
    MHF Contributor
    Mar 2010
    If you seat the people one at a time, the first person will have 5 choices, the second will have 4, and the third will have 3 choices. So the answer is 5*4*3=60.

    So if by p(5,3), you mean $\displaystyle _3P_5=\frac{5!}{(5-3)!}$, your answer is correct.

    - Hollywood
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