- #1
Roni1985
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Homework Statement
A basketball coach has 10 boys and 10 girls on his roster. In how many ways can the coach partition the group of 20 into 4 teams of 5 students such that there are at least 2 boys and 2 girls on each team ?
The Attempt at a Solution
I tried nCr(10,3)*nCr(10,2) + nCr(7,3)*nCr(8,2) + nCr(6,3)*nCr(4,2)=6500
I think it's correct but I am not sure.
Thanks.