Evaluate the permutation.
-Determine the number of permutations of 10 things taken 7 at a time.
A)720
B)1
C)604,800
D)10

Question

Quizplus · Accepted Answer

The number of permutations of $n$ things taken $r$ at a time is given by $nPr = \frac{n!}{(n-r)!}$. For 10 things taken 7 at a time, it's $10P7 = \frac{10!}{(10-7)!} = \frac{10!}{3!} = \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 1} = 604,800$.

Evaluate the Permutation. -Determine the Number of Permutations of 10 Things Taken 7