
Concept explainers
To find: How many different sequences are possible?

Answer to Problem 60AYU
Total of 70 different sequences is possible.
Explanation of Solution
Given:
In the World Series the American League team (A) and the National League team (N) play until one team wins four games. The sequence of winners is designated by letters (for example, NAAAA means that the National League team won the first game and the American League won the next four).
Formula used:
Calculation:
Consider the way American league wins.
To win the World Series they must win the last game.
Number of choices to win in 4 games - AAAA - .
Number of choices to win in 5 games-eg: AAANA - .
Number of choices to win in 6 games-eg: NAAANA - .
Number of choices to win in 7 games-eg: NNAAANA - .
If A wins the series then number of sequences is 35.
If N wins the series then number of sequences is 35.
Hence, total number of sequences is .
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