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How many ways to get a Four of a kind?

  1. May 5, 2005 #1
    Poker hands...

    1. How many ways are there to obtain these three highly-rated combinations below?
    a. Four of a kind. -Four cards of the same rank and one other card

    b. Full House. -Three cards of the same rank and two cards both of another rank. ( A triple, or three of a kind, and a pair.)

    c. Two pairs. -Two pairs of cards of two distinct ranks and a fifth card of another rank.

    2. Suppose you play a game in which only three cards are deal: How many ways are there to obtain one pair?

    3. Suppose four cards are dealt. How many ways are there to obtain one pair?

    am i doing these correctly?
    1a. 13C1 X 48C1 = 624
    b.13C1 X 4C3 X 12C1 X 4C2 = 3744
    c.13C2 X 4C2 4C2 44C1 = 123,552

    2.13C1 X 4C2 X 12C1 X 4C1 = 3744

    3. 13C1 X 4C2 X 12C1 X 4C1 X 11C1 X 4C1 = 164736

    am i right?
     
  2. jcsd
  3. May 5, 2005 #2
    Hmm, a flash review of your answers suggests to me you are correct

    -- AI
     
  4. May 5, 2005 #3

    cepheid

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    Staff Emeritus
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    Gold Member

    You seem to know what you're doing gillgill. So why the doubt?
     
  5. May 5, 2005 #4
    thanks.....
     
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