In a chess tournament, two players A and B play against each other, until one of the players wins a total of 5 games. (a) Suppose that A wins the tournament in 8 games, with no draws. How many different possible sequences of wins and losses by A could lead to this result? (b) Now add the possibility of draws. If the tournament still lasts 8 games, how many different possible sequences of wins, losses and draws could lead to A winning in 8 games?
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