Question

Which expression represents 25!/(25-12!)12

Answer 1

it looks like to me the only solution you have is 25-12 times 12 which would give you 125

Answer 2

`^(24)\textrm{C}_(12)`

Explanation:

Here we are given an expression which represents

`^(n)\textrm{C}_(r)`

This is a formula for problems related to combination from topic " Permutation and Combination"

The formula is

`^(n)\textrm{C}_(r)=(n!)/((n-r!)r!)`

Hence

`^(24)\textrm{C}_(12)=(24!)/((24-12)!12!)`

`^(24)\textrm{C}_(12)=(24!)/(12!12!)`

`^(24)\textrm{C}_(12)= (24* 23 * 22 * ...... 3 * 2 * 1)/((12* 11* 10* ...... 3 * 2 * 1 ) * (12* 11* 10* ...... 3 * 2 * 1 ))`

`^(24)\textrm{C}_(12)=(24* 23 * 22 * ...... 15* 14 * 13)/(12* 11* 10* ...... 3 * 2 * 1 )`

Solving above multiplication and division we get

`^(24)\textrm{C}_(12)=2704156`