SOLUTION: Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In how many ways can they do it?
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Question 1120024: Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In how many ways can they do it?
10 choose 3 ways to choose the first team, then for each of those choices there are 7 choose 3 ways to choose the second team. Then the product of those two numbers times 4 choose 3 ways to choose the third team, times 1 way to choose the judge.
Do the arithmetic.
John
My calculator said it, I believe it, that settles it
