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 two members of that team to be on the tournament committee, except the host team, which selects three members. How many possible 9 member tournament committees are there?
Here's what I get :
In one tournament we have
C(7,3) * [ C (7, 2) ] ^3 =
35 * 21^3 =
324135 possible committees in one tourney
Your hyperbolic gratitude is interesting; especially since you didn’t bother to give CPhill a point.
Derek actually had given CPhill a point Ginger ..... CPhill didn't give himself one...
OOPS ... The hyperbolic gratitude is still interesting, though.
CPhill’s solution is incomplete; it does not include the number of ways to select the host team.