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Chapter 12: Q20. (page 795)

Evaluate the expression.

C10, 3

Short Answer

Expert verified

The value of the expressionC10, 3 is 120.

Step by step solution

01

Step 1. Define combination.

A selection of objects in which order is not important is called a combination.

02

Step 2. Define the meaning of Cn, r.

The number of combinations of r objects taken from the group of n objects is given by

Cn, r=n!n−r!r!              ............1

03

Step 3. Evaluate the expression C10, 3.

Use equation (1) to evaluate the expression C10, 3.

C10, 3=10!10−3!3!=10!7!3!=10987!7!3!=10×9×83×2×1=7206=120

Therefore, the value of the expressionC10, 3 is 120.

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