Question

Compute the following:

7!/3!

a.
1680
b.
840
c.
21
d.
4

Answer 1

840 would be your correct answer so it would be B

Answer 2

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.