Safari321
  • Safari321
Six students are pairing up to play tennis.In how many different ways can they pair up?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
This is not permutations luis, it's combinations
Safari321
  • Safari321
720 ways?
anonymous
  • anonymous
he is wrong

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Safari321
  • Safari321
oh
anonymous
  • anonymous
he was saying that if Anne and Bill paired up, it would be different than Bill and Anne pairing up
Safari321
  • Safari321
oh
anonymous
  • anonymous
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|
anonymous
  • anonymous
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
Safari321
  • Safari321
so there's a formula for combinations?
anonymous
  • anonymous
! 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
Safari321
  • Safari321
then that'll be the outcome of the of combinations?
anonymous
  • anonymous
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
Safari321
  • Safari321
okay mridrick thanks!
anonymous
  • anonymous
you're welcome
Safari321
  • Safari321
:)
anonymous
  • anonymous
:D

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