PROBLEM 9E

The World Series in baseball continues until either the American League team or the National League team wins four games. How many different orders are possible (e.g., ANNAAA means the American League team wins in six games) if the series goes

(a) Four games?

(b) Five games?

(c) Six games?

(d) Seven games?

Step 1 of 4:

The World Series in baseball continues until either the American League team or the National League team wins four games. We have to find the possible outcomes if the series goes.

Four games.Five gamesSix gamesSeven games.Step 2 of 4 :

We have to find the number of possible ways if the series end with four games.

It is given that the baseball continues until either the American League team or the National

League team wins four games.

That means the possible orders are

AAAA NNNNSo there is 2 possible ways if the series end with four games.

b) We have to find the possible number of ways if the series end with five game

Since the game will stop either one of the two teams wins 4 games.here the possible outcomes will be.

AAANA 5) NNNANAANAA 6) NNANNANAAA 7) NANNNNAAAA 8) ANNNNSo there is 8 possible ways if the series end with five game.