Problem 1034

Daily Math Challenge - November 15, 2023



A professional baseball coach is deciding on the batting order for his team during the upcoming playoffs.  The team and batting order consists of 9 players.  The coach does not want the the shortstop to be one of the first 5 batters.  Also, the coach wants the pitcher to bat in the 9th position.  How many batting orders are possible for the coach to consider?

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