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Chapter 12: Q15. (page 641)

Evaluate each expression

P12,6

Short Answer

Expert verified

The value of P12,6=665280.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression P12,6.

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=12,r=6

Plugging the values:

P12,6=12!12−6!P12,6=12!6!P12,6=12⋅11⋅10⋅9⋅8⋅7⋅6!6!P12,6=12⋅11⋅10⋅9⋅8⋅7P12,6=665280

03

Step 3. Conclusion.

Hence, the value of P12,6=665280.

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