Verified Answer :

840 would be your correct answer so it would be B

Answer:

The correct option is b.

Step-by-step explanation:

The given expression is

\(\frac{7!}{3!}\)

The n! is defined as

\(n!=n\times (n-1)\times (n-2)\times ...\times 3\times 2\times 1\)

\(\frac{7!}{3!}=\frac{7\times 6\times 5\times 4\times 3!}{3!}\)

Cancel out the common factor 3! from numerator and denominator.

\(\frac{7!}{3!}=7\times 6\times 5\times 4\)

\(\frac{7!}{3!}=840\)

Therefore option b is correct.