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Chapter 12: Q21. (page 795)

Evaluate the expression.

C9, 5

Short Answer

Expert verified

The value of the expressionC9, 5 is 126.

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 C9, 5.

Use equation (1) to evaluate the expression C9, 5.

C9, 5=9!9−5!5!=9!4!5!=987654!4!5!=9×8×7×6×55×4×3×2×1=126

Therefore, the value of the expressionC9, 5 is 126.

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