Use the Permutations Formula
Use the formula for
$${ } _ { n } P _ { r }$$ to evaluate the expression.
-$$10 \mathrm { P } _ { 4 }$$
A)5040
B)151,200
C)907,200
D)3,628,800

Question

Use the Permutations Formula
Use the formula for
 $${ } _ { n } P _ { r }$$ to evaluate the expression.
-$$10 \mathrm { P } _ { 4 }$$
A)5040
B)151,200
C)907,200
D)3,628,800

Quizplus · Accepted Answer

The formula for permutations is ${ } _ { n } P _ { r } = \frac{n!}{(n-r)!}$. For $10P4$, it is $\frac{10!}{(10-4)!} = \frac{10!}{6!}$. Calculating this gives $10 \times 9 \times 8 \times 7 = 5040$.

Use the Permutations Formula Use the Formula For nPr{ } _ { n } P _ { r }n​Pr​

Use the Permutations Formula
Use the Formula For ${ } _ { n } P _ { r }$