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Math Help - stats-

  1. #1
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    stats-

    1) each of the digits 1,1,2,3,3,4,6 is written on a separate card. the seven cards are then laid out in a roq to form a 7-digit number.

    how many 7-digit numbers are there?

    2) 8 cards are selected with replacement from a standard pack of 52 playing cards, with 12 picture cards, 20 odd cards and 20 even cards

    there are 52^8 sequences of 8 cards possible

    how many of the sequences of above will contain 3 picture cards, 3 odd-numbered cards and 2-even numbered cards?

    not getting the right answer- how would i go about solving this

    thanks
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  2. #2
    Eater of Worlds
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    Quote Originally Posted by lra11 View Post
    1) each of the digits 1,1,2,3,3,4,6 is written on a separate card. the seven cards are then laid out in a roq to form a 7-digit number.

    how many 7-digit numbers are there?
    Distinguishable permutations: \frac{7!}{2!2!}

    2) 8 cards are selected with replacement from a standard pack of 52 playing cards, with 12 picture cards, 20 odd cards and 20 even cards

    there are 52^8 sequences of 8 cards possible

    how many of the sequences of above will contain 3 picture cards, 3 odd-numbered cards and 2-even numbered cards?

    not getting the right answer- how would i go about solving this
    Did you try C(12,3)C(20,3)C(20,2)
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  3. #3
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    is that 12 (choose) 3 etc ??
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