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Math Help - Combinations problem

  1. #1
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    Combinations problem

    addendum, some combination problems too

    A: a freshman has 4 exams to take with 10 examination periods avaialable. how many possible arrangements are there of his exam schedule?

    B: from a group of 5 swimmers and 8 runners, an athletic contingent of 7 is to be formed. how many teams are possible if there are to be: b1) 2 swimmers, 5 runners and b2) at least 3 swimmers
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  2. #2
    Member SengNee's Avatar
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    Quote Originally Posted by wheresthecake View Post
    addendum, some combination problems too
    A:
    This should not be combination but permutation.
    Because each of 4 exams should not be the same.
    ^10P_4

    B:
    1)
    2 swimmers: ^5C_2

    5 runners: ^8C_5

    ^5C_2 \cdot ^8C_5

    2)
    Minimum 3 swimmers.

    3 swimmers, 4 runners
    4 swimmers, 3 runners
    5 swimmers, 2 runners
    (Maximum 5 swimmers)

    Then find their sum.
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