Question

Evaluate the given expression 12c8

Answer 1

The correct option is c.

Explanation:

The given expression is

`^(12)C_(8)`

Combination formula:

`^(n)C_(r)=(n!)/(r!(n-r)!)`

Using the formula we get

`^(12)C_(8)=(12!)/(8!(12-8)!)`

`^(12)C_(8)=(12* 11* 10* 9* 8!)/(8!(4)!)`

`^(12)C_(8)=(12* 11* 10* 9)/(4* 3* 2* 1)`

`^(12)C_(8)=495`

Therefore the correct option is c.