Problem 1021

Evaluate the expression.

12P5.

 

Solution:-

 

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

nPr = \frac{n!}{(n-r)!}

12P5  = \frac{12!}{7!}

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 =\frac{12!}{7!}simplifies to 95040.

 

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