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Chapter 12: Q14. (page 641)

Evaluate each expression

P7,5

Short Answer

Expert verified

The value of P7,5=2520.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression P7,5.

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=7,r=5

Plugging the values:

P7,5=7!7鈭�5!P7,5=7!2!P7,5=7鈰�6鈰�5鈰�4鈰�3鈰�2!2!P7,5=7鈰�6鈰�5鈰�4鈰�3P7,5=2520

03

Step 3. Conclusion.

Hence, the value of P7,5=2520.

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