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 1120031: 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? Answer by greenestamps(13203) (Show Source):
It is the number of ways you can arrange the letters AAABBBCCCF, indicating that three players are on team A, three on team B, and three on team C, with one the field judge F.
Each different arrangement represents one of the ways you can form three teams of 3 with a field judge.
That number of arrangments, and therefore the number of ways to divide the players as required, is
