A baseball team has 3 pitchers, who only pitch, and 21 other players, all of whom can play any position other than pitcher. For

Question

A baseball team has 3 pitchers, who only pitch, and 21 other players, all of whom can play any position other than pitcher. For Saturday's game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders may occur? 
There are ... different batting orders.

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