At. The first meeting of a chess club the 9 members decide to have a tournament in which each player plays a game against every other player. How many games will there be??
Can you help me figure this out ?
Math word problem - Reiny, Thursday, February 2, 2012 at 10:32pm
Each of the 9 players would play against 8 others, that would give us 9x8 or 72
BUT, wouldn't that include such games as
A vs B and B vs A, which is the same game.
So we have to divide by 2 to get all those duplications taken out
number of games = 72/2 = 36
In mathematical symbols that would be
C(9,2) = 9!/(2!7!) = 36
Math word problem - Anonymous, Friday, February 3, 2012 at 11:54am
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