In a two team basketball playoff, the winner is the first team to win m games.(a) counting spereately the number of play-offs requiring m, m+1, and 2m-1 games, show that the total number of different outcomes (sequences of wins and losses by one of the teams) is2[(m-1 / m-1) + (m / m-1) + + (2m-2 / m-1)](b) how many different outcomes are there in a "2 out of 3" playoff, a "3 out of 5", and a "4 out of 7" playoff?