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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 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?

 May 28, 2021
 #1
avatar+121056 
+3

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

 

 

cool cool cool

 May 28, 2021
edited by CPhill  May 28, 2021
 #2
avatar+62 
+1

OOOMMMGGGGG TYSM CPHILL!!!!!!! :D

Derekshakk  May 28, 2021
 #3
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0

Your hyperbolic gratitude is interesting; especially since you didn’t bother to give CPhill a point.W T F

 

GA

Derek actually had given CPhill a point Ginger .....   CPhill didn't give himself one...

OOPS ... The hyperbolic gratitude is still interesting, though.  hyperbolically interesting 

Guest May 29, 2021
edited by Guest  Jun 1, 2021
 #5
avatar+114485 
0

Derek actually had given CPhill a point Ginger .....   CPhill didn't give himself one...

Melody  May 29, 2021
 #4
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CPhill’s solution is incomplete; it does not include the number of ways to select the host team.

 

GA

 May 29, 2021
 #6
avatar+114485 
0

Maybe CPhill figured the host team was preset.  I think that this is a reasonable assumption.

Obviously if it is not pre-set you would need to multiply the answer by 4.

Just as GA says.

Melody  May 29, 2021

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