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Chapter 12: Q17. (page 641)

Evaluate each expression

C8,4

Short Answer

Expert verified

The value of C8,4=70.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C8,4.

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=8,r=4

Plugging the values:

C8,4=8!8−4!4!C8,4=8!4!4!C8,4=8⋅7⋅6⋅5⋅4!4⋅3⋅2⋅1⋅4!C8,4=70

03

Step 3. Conclusion.

Hence, the value of C8,4=70.

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