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Math Help - Please help with permutation problems

  1. #1
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    Please help with permutation problems

    1. In how many ways can 3 identical emeralds, 2 identical diamonds, and 2 different opals be arranged in a row in a display case?
    Is the solution 3 x 2 x 2 =12

    2.Find the number of 6-letter permutations that can be formed from the letters i n the world shopper.
    C (7,6) =7

    3. How many 13-card hands having exactly 10 spades can be dealt?

    Thank you very much.
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  2. #2
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    I think part 1 is wrong. It should be

    7! / ( 3! x 2! x 2! )

    For explanation, refer to this link 3. Permutations (Ordered Arrangements)

    Quote Originally Posted by oceanmd View Post
    1. In how many ways can 3 identical emeralds, 2 identical diamonds, and 2 different opals be arranged in a row in a display case?
    Is the solution 3 x 2 x 2 =12

    2.Find the number of 6-letter permutations that can be formed from the letters i n the world shopper.
    C (7,6) =7

    3. How many 13-card hands having exactly 10 spades can be dealt?

    Thank you very much.
    Follow Math Help Forum on Facebook and Google+

  3. #3
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    Oct 2007
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    134
    thank you for the reply and for a good web site.
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