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Three schools have a chess tournament. Four players come from each school. Each player plays three games against each player from the other schools.  How many games of chess are played?

 Dec 30, 2020
 #1
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Let the 4 schools be   A, B , C and  D

 

A plays  B, C and D

B plays  C, D    (they have already played A)

C plays D  ( they have already played A and B

D  has already played A, B and C

 

 

The players  from A  play a total of

(4 players from A ) ( 4 players* 3 schools) (3 games  each)  =  144 games

 

The players from B  play a total of

(4  players  from B) (4 players *2 schools)(3 games each )  =  96 games

 

The players from C  play a total of 

(4  players from C) ( 4  players * 1 school ) (3 games each)    = 48 games

 

144 + 96 +  48     =   

 

48 ( 3 + 2 + 1)  =

 

48 (6)  = 

 

288 games

 

cool cool cool

 Dec 30, 2020

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