5 cards are randomly selected from a standard deck of playing cards.  How many hands contain exactly 2 queens and 1 king?

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  • 1 month ago

    From the 4 queens, pick 2.

    4C2 = (4 * 3)/2 = 6 ways

    From the 4 kings, pick 1.

    4C1 = 4 ways

    Finally, from the 44 other cards, pick 2.

    44C2 = (44 * 43) / 2 = 946 ways

    Multiply those together to get your answer.

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