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Chapter 12: Q6. (page 641)

Evaluate each expression

C4,2

Short Answer

Expert verified

The value of C4,2=6.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C4,2.

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=4,r=2

Plugging the values:

C4,2=4!4鈭�2!2!C4,2=4!2!2!C4,2=4鈰�3鈰�2!2鈰�1鈰�2!C4,2=122C4,2=6

03

Step 3. Conclusion.

Hence, The value of C4,2=6.

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