A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different arrangements of plays can be run, if the same play can’t be run more than once?

GMAT QUANT Difficulty: 700-Level, Combinations, Source: Veritas Prep in Problem Solving (PS)

A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different arrangements of plays can be run, if the same play can’t be run more than once?

A. 24
B. 125
C. 243
D. 504
E. 729

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