Question

What is the value of the expression?

Answer 1

Setup:
$\frac{10!}{5!*2!} = \frac{10*9*8*7*6*5*4*3*2*1}{5*4*3*2*1*2*1}$

Cancel out numbers from top and bottom to get
$5*9*8*7*6 = 15120$

Answer 2

10! = 10 * 9 * 8* 7 *6 *5 *4 *3 *2 *1 = 3628800

5! = 5*4*3*2*1 = 120
2! = 2*1 = 2

5! x 2! = 120 * 2 = 240

10! / 5!2! = 362880 / 240 = 15,120