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Chapter 12: Q12. (page 641)

Evaluate each expression

P8,2

Short Answer

Expert verified

The value of P8,2=56.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression P8,2.

02

Step 2. Calculation.

When n objects are available and r are to be picked then the number of permutations is given by Pn,r=n!n-r!

Here n=8,r=2

Plugging the values:

P8,2=8!8鈭�2!P8,2=8!6!P8,2=8鈰�7鈰�6!6!P8,2=8鈰�7P8,2=56

03

Step 3. Conclusion.

Hence, the value of P8,2=56.

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