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Chapter 12: Q20. (page 641)

Evaluate each expression.

C12,4路C8,3

Short Answer

Expert verified

The value of C12,4路C8,3=27720.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C12,4路C8,3.

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:

C12,4鈰�C8,3=12!12鈭�4!4!鈰�8!8鈭�3!3!C12,4鈰�C8,3=12!8!4!鈰�8!5!3!C12,4鈰�C8,3=12鈰�11鈰�10鈰�9鈰�8鈰�7鈰�6鈰�5!8!鈰�4鈰�3鈰�2鈰�1鈰�8!5!鈰�3鈰�2鈰�1C12,4鈰�C8,3=27720

03

Step 3. Conclusion.

Hence, the value of C12,4鈰�C8,3=27720.

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