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Math Help - Number of arrangements

  1. #1
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    Number of arrangements

    The Naval School (EN) will receive 20 new officers, and marines, Intendente and Navy officials. How many ways can be completed the effective EN, should be among the 20 new officers at least two Marines, at least two Intendente and at least two of the Army Corps?
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  2. #2
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    Since the order of the chosen people in the group doesn't matter, just take out 6 people from the 20 (the ones that have to be in the group, no matter what) and compute the number of ways to arrange these 14 people with the 4 classes given. This is easy when you realize that for every spot that's left you have 4 options.
    Last edited by TiRune; May 9th 2009 at 08:37 AM. Reason: spelling
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