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Thread: Calculating poker hands help

  1. #1
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    Question Calculating poker hands help

    Answer requires justification

    In the game of poker a player receives a subset of 5 cards, called a poker hand, fromthe standard deck of 52 cards. The order in which the cards are received is not important,just the actual cards themselves.

    (a) How many poker hands contain 5 hearts?
    (b) How many poker hands contain exactly 3 hearts?
    (c) How many poker hands contain 2 clubs and 3 spades?
    (d) How many poker hands contain exactly two suits
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  2. #2
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    Re: Calculating poker hands help

    Quote Originally Posted by inayat View Post
    Answer requires justification

    In the game of poker a player receives a subset of 5 cards, called a poker hand, fromthe standard deck of 52 cards. The order in which the cards are received is not important,just the actual cards themselves.

    (a) How many poker hands contain 5 hearts?
    (b) How many poker hands contain exactly 3 hearts?
    (c) How many poker hands contain 2 clubs and 3 spades?
    (d) How many poker hands contain exactly two suits
    Again $\mathcal{C}^N_j$ is the number of combinations of $N$ things taken $j$ as a time.
    (a) $\mathcal{C}^{13}_5$. Now you explain why and show some effort on others.
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