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How do I calculate this combination for a deck of cards?

Five cards drawn at random from a 52 card deck. How many ways are there to get 2 red aces and 2 black jacks?

I know I need to use combinations because order doesn't matter, but I cannot figure out values for n and r. Or how to finish the calculation. My answer choices are 864, 216, and 6.

But I would like to know how set up the combination. Not just the answer. I need to be able to do it with different figures on a test.

1 Answer

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  • M3
    Lv 7
    1 decade ago
    Favorite Answer

    either the q is wrong or the ans is wrong

    if it is a combination problem where order doesn't matter,

    there's only 1 way to get 2 red aces,

    only 1 way to get 2 black jacks

    & 48 ways to get one more card

    giving a total # of ways = 1*1*48 = 48

    and the choices don't fit a permutation problem, either !

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