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Safari321

  • 2 years ago

Six students are pairing up to play tennis.In how many different ways can they pair up?

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  1. mridrik
    • 2 years ago
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    This is not permutations luis, it's combinations

  2. Safari321
    • 2 years ago
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    720 ways?

  3. mridrik
    • 2 years ago
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    he is wrong

  4. Safari321
    • 2 years ago
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    oh

  5. mridrik
    • 2 years ago
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    he was saying that if Anne and Bill paired up, it would be different than Bill and Anne pairing up

  6. Safari321
    • 2 years ago
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    oh

  7. mridrik
    • 2 years ago
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    it can be written as nCr which means n choose r, where n is larger. so in this case it is 6 choose 2, and to find the answer, you plug them into this formula: |dw:1331001470884:dw|

  8. satellite73
    • 2 years ago
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    pick one person, person A then their are 5 choices for partners. after that pick another, there are 3 choices of partners. then no choices

  9. Safari321
    • 2 years ago
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    so there's a formula for combinations?

  10. mridrik
    • 2 years ago
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    ! means factorial, and you multiply by all the natural numbers less than the number in front of the !, so for 6! it would be, 6 x 5 x 4 x 3 x 2 x 1

  11. Safari321
    • 2 years ago
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    then that'll be the outcome of the of combinations?

  12. mridrik
    • 2 years ago
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    6! = 720, then we divide by 2! (which is just 2) times (6-2)! 2 x 4! = 4 x 3 x 2 x 2 x 1 = 48, so the answer is 720 divided by 48 which simplifies to 15

  13. Safari321
    • 2 years ago
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    okay mridrick thanks!

  14. mridrik
    • 2 years ago
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    you're welcome

  15. Safari321
    • 2 years ago
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    :)

  16. mridrik
    • 2 years ago
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    :D

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