Evaluate the permutation.
-${ } _ { 5 } \mathrm { P } _ { 5 }$
A) 0
B) 4
C) 1
D) 120

Name: Evaluate the permutation. -${ } _ { 5 } \mathrm { P } _ { 5 }$ A) 0 B) 4 C) 1 D) 120
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Question

Quizplus · Accepted Answer

The permutation formula ${ }_n\mathrm{P}_r = \frac{n!}{(n-r)!}$ when applied to ${ }_5\mathrm{P}_5$ simplifies to $5!$ because the denominator becomes $(5-5)!$ which is $0!$, and $0!$ is defined as 1. Therefore, ${ }_5\mathrm{P}_5 = 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120.$

Evaluate the Permutation 5P5{ } _ { 5 } \mathrm { P } _ { 5 }5​P5​

Evaluate the Permutation ${ } _ { 5 } \mathrm { P } _ { 5 }$