Question

Evaluate the expression

14!/12!2!

Answer 1

`(14!)/(12!2!)`

This is what it basically means:

`=(14*13*12*11*10*9*8*7*6*5*4*3*2*1)/(12*11*10*9*8*7*6*5*4*3*2*1(2*1))`

To simplify that, cross out numerators that are the same as the denominators because anything divided by itself equals 1.

`=(14(13))/(2*1)`
Now because anything multiplied by 1 stays the same, this simplifies to

`=(14(13))/(2)`

`=(182)/(2)`

`=91`

Answer 2

`(14!)/(12!2!) \\\\ = (14!)/(12!) . (1)/(2!) \\\\ = (14 * 13) . (1)/(2) \\\\ = (182)/(2) \\\\ = 91`