Evaluate ${ } _ { n } P _ { r }$ .
${ } _ { 7 } P _ { 3 }$
A)210
B)336
C)720
D)35
E)504

Name: Evaluate ${ } _ { n } P _ { r }$ . ${ } _ { 7 } P _ { 3 }$ A)210 B)336 C)720 D)35 E)504
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Question

Evaluate ${ } _ { n } P _ { r }$ . 
 ${ } _ { 7 } P _ { 3 }$  
A)210
B)336
C)720
D)35
E)504

Quizplus · Accepted Answer

The formula for permutations is ${ } _ { n } P _ { r } = \frac{n!}{(n-r)!}$. For ${ } _ { 7 } P _ { 3 }$, it is $\frac{7!}{(7-3)!} = \frac{7 \times 6 \times 5 \times 4!}{4!} = 7 \times 6 \times 5 = 210$.

Evaluate nPr{ } _ { n } P _ { r }n​Pr​

Evaluate ${ } _ { n } P _ { r }$