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# Teams A and B play in a basketball tournament. The first

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Intern
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Teams A and B play in a basketball tournament. The first [#permalink]  13 Dec 2004, 17:42
Teams A and B play in a basketball tournament. The first team that wins 2 games in a row or a total of 4 games wins the tournament. Find the number of ways the tournament can occur.
Director
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can somebody explain this one for me please..
Intern
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Intern
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Intern
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schumacher wrote:

Let A has to win the game and also assume that till the last game the winner is not decided.
Then MAXIMUM number of games to be played = 7
The winners of the games in the order is: ABABABA
7th game is deciding the winner. (7 possibilities here)

So any other possibility will decide the winner in less than 7 games.
Hence 7 games are to be played at max to decide "A" as the winner.

Similarly if the order is altered (BABABAB)
B will be winner in the 7th game.( 7 possibilities here)

So TOTAL 14 NUMBER OF POSSIBILITIES TO SELECT THE WINNER.
anyone disagrees??
Director
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Then MAXIMUM number of games to be played = 7

How do you get the number 7 to be the maximum number of games to be played?
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gayathri wrote:
Then MAXIMUM number of games to be played = 7

How do you get the number 7 to be the maximum number of games to be played?

A team will win the tournament if it wins 4 games totally.
(4x2 - 1 = 7).
Hence 7th game is the deciding factor.
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Thanks Gladiator, I think get it now...
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