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Math Help - How many ways

  1. #1
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    Question How many ways

    How many ways can first and second awards and three honorable mention awards be given to nine contestants?
    This one is hard but I came up with 6,048 awards given away. is this right. Thanks for any help given.
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  2. #2
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    Hello, kwtolley!

    This one is similar to the committee-selection problem.


    How many ways can first and second awards and three honorable mention awards
    be given to nine contestants?

    I came up with 6,048. is this right? . Sorry, no

    The first award can be given to any of the 9 contestants.
    The second award can be given to any of the 8 other contestants.
    The honorable mentions are given to three of the other seven contestants
    . . in C(7,3) \,= \,\frac{7!}{3!4!}\,=\,35 ways.

    Therefore: . 9 \times 8 \times 35\:=\:2520 ways.

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  3. #3
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    Thanks

    you for checking my answer
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