Question

Evaluate the expression P(12,9)=_____

Answer 1

`P(12,9)=(12!)/(3!)=4\cdot5\cdot\ldots\cdot11\cdot12=79,833,600`

Answer 2

The value of P(12,9) is 79833600.

Explanation:

We need to find the value of P(12,9).

The given expression represents the permutation.

The formula for permutation is

`P(n,r)=(n!)/((n-r)!)`

In the given expression n=12 and r=9. So, the value of P(12,9) is

`P(n,r)=(12!)/((12-9)!)`

`P(n,r)=(12!)/(3!)`

`P(n,r)=(12* 11* 10* 9* 8* 7* 6* 5* 4* 3!)/(3!)`

Now, cancel out the common factors.

`P(n,r)=12* 11* 10* 9* 8* 7* 6* 5* 4`

`P(n,r)=79833600`

Therefore the value of P(12,9) is 79833600.