SOLUTION: HI tutors, Can you help me answer this please? 22 people decide to play cricket. In how many ways can 2 teams of eleven players be formed? I get 352,716 using C(m,n)= m!/n!m!.Am

Algebra ->  Permutations -> SOLUTION: HI tutors, Can you help me answer this please? 22 people decide to play cricket. In how many ways can 2 teams of eleven players be formed? I get 352,716 using C(m,n)= m!/n!m!.Am       Log On


   



Question 742113: HI tutors, Can you help me answer this please?
22 people decide to play cricket. In how many ways can 2 teams of eleven players be formed? I get 352,716 using C(m,n)= m!/n!m!.Am I close?
Thank you.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
As you figured it, the question is how many ways can you choose a teamm of 11 from the 22 people available, because once you pick one team, the other team is already determined.
C%28m%2Cn%29=m%21%2F%28n%21%28m-n%29%21%29
When m=22 and n=11, m-n=11 and
C%2822%2C11%29=22%21%2F%2811%2111%21%29=705432