Question

Evaluate
4! - (11-2)!
8!

Answer 1

Explanation:

The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.

Given:

4! - ((11-2)!) / 8!)

Rewrite:

`\displaystyle 4! - ((11-2)!)/(8!)`

Subtract:

`\displaystyle 4! - (9!)/(8!)`

Expand:

`\displaystyle 4*3*2*1 - (9*8*7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1)`

Cancel out values that equal one in the fraction:

`\displaystyle 4*3*2*1 - (9)/(1)`

Multiply:

`\displaystyle 24 - (9)/(1)`

Simplify:

24 - 9

Subtract:

15