ANSWER
B.) 72
EXPLANATION
Recall the expansion for the factorial notation:
[tex]n! = n \times (n - 1) \times (n - 2) \times ...3 \times 2 \times 1[/tex]
We want to simplify
[tex] \frac{9!}{7!} [/tex]
Let us expand the numerator up to 7! while maintaining the denominator.
[tex] \implies \: \frac{9 \times 8 \times 7!}{7!} [/tex]
When we cancel out the common factors,we obtain:
[tex]\implies \: \frac{9 \times 8 \times 1}{1} [/tex]
This simplifies to
[tex]\implies \: \frac{72}{1} = 72[/tex]
The correct answer is B.
