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Math Help - Premiation

  1. #1
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    Premiation

    How many different man-woman couples can be formed at a dance where there are 12 women and 8 men?



    1. 12C1 *8C1 or 12P1 *8P1

    2. 202

    3. 20 * 8

    4. None of the above

    We think the answer is 96. However, both answers in number 1 equal 96. But, can be premiation and combination but together in one answer?
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  2. #2
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    Re: Premiation

    Answer lies in basic counting principle.
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  3. #3
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    Re: Premiation

    So that would be 12 * 8 if we used basic counting principle? So "none of the above?"
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  4. #4
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    Re: Premiation

    {12 \choose 1}\cdot{8 \choose 1 }=12\cdot 8
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  5. #5
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    Re: Premiation

    That is what I understood. I knew the answer was 96. I just dont ever see premiation and combination together. I did not know if those TWO could be an answer. I do not think they do, so my answer will be none of the above since 96 is not listed.
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