Question

Find the value of 14! / 4!10!

Answer 1

1001

Explanation:

Note that n! = n(n - 1)(n - 2).. × 3 × 2 × 1

Given

`(14!)/(4!10!)`

14! = 14(13)(12)(11)(10)(9)(8)(7)(6)...

10! = 10(9)(8)(7)(6).....

Cancel the factors of 14! with those of 10!, leaving

=
`(14(13)(12)(11))/(4(3)(2))`

=
`(24024)/(24)`

= 1001