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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.

Respuesta :

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 [tex]\frac{9!}{9}=8![/tex]

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

[tex]\frac{8!}{101}=399.20\approx 399 [/tex]

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