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denis-greek [22]
3 years ago
15

Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game goes to extra innings, and a

season consists of 101 games, how many complete seasons can the team play without repeating a line-up? The team can play _______ complete seasons without repeating a line-up.
Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:399

Step-by-step explanation:

Given

baseball consist of Nine innings and there are 9 different Positions in baseball thus there are total of 9! ways in which a line can be formed

but in a single game there are 9 innings so there are \frac{9!}{9}=8!

and there are 101 games in single season so total no of season a team can play without repeating the same line-up

\frac{8!}{101}=399.20\approx 399

so a team can play a total of 399 season with different line up in every game.

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