Algebra

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Hi, can I have some help with my permutation/combination homework?

"Find the number of 5-card hands that contain the cards specified."

1. five red cards
2. five cards, none are number cards
3. five cards of the same suit

  • Algebra -

    1. there are 13 red cards, you want 5 of those
    number of hands with 5 red = C(13,5) = 1287

    2. there are 16 non-number cards ,
    number of 5 card hands from that is
    C(16,5)
    = 4368

    3. could be 4 different suits, in #1 we did the reds
    so in this case it would be 4xC(13,5) = 4(1287) = 5148

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