Question

Evaluate 7!/5!2!
A)1
B)21
C)42

Answer 1

B) 21

Explanation:

Write out the factorials as the full expressions of every number being multiplied.

`(7 * 6 * 5 * 4 * 3 * 2 * 1)/(5 * 4 * 3 * 2 * 1 * 2 * 1)`

Now cancel any numbers on the top and bottom to give:

`(7 * 6)/(2)`

This is simplified to

`(42)/(2)`

which is equal to 21