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    Permutation and Combination

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    Suppose that you are dealt a hand of 8 cards from a standard deck of 52 playing cards.
    a) What is the probability that you are dealt no diamonds and exactly 1 jack?
    b) What is the probability that you are dealt no more than 1 spade?
    c) What is the probability that you are dealt at least 2 sevens and at least 3 fives?

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    https://brainmass.com/math/combinatorics/permutation-combination-437042

    Solution Preview

    Hi,

    a. There are 4 jacks in a deck but since there will be no diamonds, we are to work on 3 jacks only. Then on the remaining cards there are 39 total removing all diamonds, but we also have ...

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