Problem 1021

Evaluate the expression.

₁₂P₅.

 

Solution:-

 

To solve this problem you need to use the following formula.

_nP_r =

₁₂P₅  =

Notice that if 12! And 7! Were expanded out, the expansion of 7! in the denominator would also occur in the expansion of 12! In the numerator. These two expansions of 7! Would each other out.

The expression ₁₂P₅ =simplifies to 95040.