To evaluate the expression [tex]\(\frac{9!}{3!}\)[/tex], let's proceed step-by-step:
1. Calculate [tex]\(9!\)[/tex]:
[tex]\[
9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 362,880
\][/tex]
2. Calculate [tex]\(3!\)[/tex]:
[tex]\[
3! = 3 \times 2 \times 1 = 6
\][/tex]
3. Divide [tex]\(9!\)[/tex] by [tex]\(3!\)[/tex]:
[tex]\[
\frac{9!}{3!} = \frac{362,880}{6} = 60,480
\][/tex]
Therefore, the value of the expression [tex]\(\frac{9!}{3!}\)[/tex] is [tex]\(60,480\)[/tex]. The matching option from the given choices is:
[tex]\[ 60,480 \][/tex]
