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Chapter 12: Q16. (page 641)

Evaluate each expression

C5,2

Short Answer

Expert verified

The value of C5,2=10.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C5,2.

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=5,r=2

Plugging the values:

C5,2=5!5−2!2!C5,2=5!3!2!C5,2=5⋅4⋅3!3!⋅2⋅1C5,2=202C5,2=10

03

Step 3. Conclusion.

Hence, the value of C5,2=10.

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