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ihatemath33 Group Title

a standard 52 card deck of cards is shuffled and then a 12-card hand is dealt from the deck. How many different outcomes are possible that have exactly 3 pairs, and all other cards of different denominations?

  • 2 years ago
  • 2 years ago

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  1. Zarkon Group Title
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    I get 53,137,244,160

    • 2 years ago
  2. missgemini92 Group Title
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    How did you get this?

    • 2 years ago
  3. ihatemath33 Group Title
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    yes, can you please tell me how you got this. Its right though

    • 2 years ago
  4. Zarkon Group Title
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    \[{13 \choose 3}{4\choose 2}^3{10\choose 6}{4\choose 1}^6\]

    • 2 years ago
  5. missgemini92 Group Title
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    How did you get 10C6 and 4C1*6?

    • 2 years ago
  6. ihatemath33 Group Title
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    10C6 is because you already chose 3 for the pairs and there is 10 cards left to pick from and then the 6 because you need 6 more cards to make 12 after the three pairs. and the 4C1*6 is for the suit of the remanding 6 cards

    • 2 years ago
  7. Zarkon Group Title
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    yes...there are 10 types of cards left over and we want 6 of them. then pick one card from each of these 6 groups

    • 2 years ago
  8. Zarkon Group Title
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    note it is (4C1)^6 not 4c1*6

    • 2 years ago
  9. glangdon Group Title
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    I just need a more detailed explanation please

    • one year ago
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