schumacher wrote:

gladiator:

can you explain your approach please?

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??