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

The correct option is b.

Explanation:

The given expression is

`(7!)/(3!)`

The n! is defined as

`n!=n* (n-1)* (n-2)* ...* 3* 2* 1`

`(7!)/(3!)=(7* 6* 5* 4* 3!)/(3!)`

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

`(7!)/(3!)=7* 6* 5* 4`

`(7!)/(3!)=840`

Therefore option b is correct.