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In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, each team selects one member of that team to be on the tournament committee, except the host team, which selects two members. How many possible 5 member tournament committees are there?

 Dec 8, 2020
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2   ways to pick the host team          2

EACH of remaining 3 teams have 7c2 ways to pick committee members     7c2 * 7c2 * 7c2

and the host team has 7c2 ways to pick committee members       7c2

3*  7c2 * 7c2 * 7c2 * 7c2 = 4 x 21 x 21 x 21 x 21 = 777924 ways

 Dec 8, 2020

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