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Chapter 12: Q21. (page 641)

Evaluate each expression

C9,3路C6,2

Short Answer

Expert verified

The value of C9,3路C6,2=1260.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C9,3路C6,2.

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!

Using the formula:

C9,3鈰�C6,2=9!9鈭�3!3!鈰�6!6鈭�2!2!C9,3鈰�C6,2=9!6!3!鈰�6!4!2!C9,3鈰�C6,2=9鈰�8鈰�7鈰�6鈰�5鈰�4!6!鈰�3鈰�2鈰�1鈰�6!4!鈰�2鈰�1C9,3鈰�C6,2=1260

03

Step 3. Conclusion.

Hence, the value of C9,3路C6,2=1260.

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