Problem:
At the end of a professional bowling tournament, the top bowlers have a playoff. First bowls . The loser receives prize and the winner bowls in another game. The loser of this game receives prize and the winner bowls . The loser of this game receives prize and the winner bowls . The winner of this game gets prize and the loser gets prize. In how many orders can bowlers through receive the prizes?
Answer Choices:
A.
B.
C.
D.
E. none of these
Solution:
There are games in every play-off, and each game has possible outcomes. For each sequence of outcomes, the prizes are awarded a different way. Thus there are possible orders.