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Chapter 12: Q18. (page 641)

Evaluate each expression

C12,7

Short Answer

Expert verified

The value of C12,7=792.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C12,7.

02

Step 2. Calculation.

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

Here n=12,r=7

Plugging the values:

C12,7=12!12−7!7!C12,7=12!5!7!C12,7=12⋅11⋅10⋅9⋅8⋅7!5⋅4⋅3⋅2⋅1⋅7!C12,7=792

03

Step 3. Conclusion.

Hence, the value of C12,7=792.

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