Five and one half less than 3 times a number
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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
