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Chapter 12: Q19. (page 641)

Evaluate each expression

C10,4

Short Answer

Expert verified

The value of C10,4=210.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C10,4.

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=10,r=4

Plugging the values:

C10,4=10!10鈭�4!4!C10,4=10!6!4!C10,4=10鈰�9鈰�8鈰�7鈰�6!6!鈰�4鈰�3鈰�2鈰�1C10,4=210

03

Step 3. Conclusion.

Hence, the value of C10,4=210.

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