Answer
${}_{16}P_9 = 4151347200$
Work Step by Step
$n=16$
$r=9$
$P(16,9)=\frac{16!}{(16-9)!}=\frac{16!}{7!}=\frac{16*15*14*13*12*11*10*9*8*7!}{7!}$
$=16*15*14*13*12*11*10*9*8 = 4151347200$
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