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Chapter 12: Q7. (page 641)

Evaluate each expression
$C (6, 1)$

Short Answer

Expert verified

The value of $C (6, 1) = 6$ .

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression $C (6, 1)$ .

02

Step 2. Calculation.

When n objects are available and r are to be picked then the number of combinations is given by $C (n, r) = \frac{n!}{(n - r)! r!}$

Here n=6,r=1

Plugging the values:

$\begin{array}{l} C (6, 1) = \frac{6!}{(6 - 1)! 1!} \\ C (6, 1) = \frac{6!}{5! 1!} \\ C (6, 1) = \frac{6 \cdot 5!}{5! \cdot 1} \\ C (6, 1) = \frac{6}{1} \\ C (6, 1) = 6 \end{array}$

03

Step 3. Conclusion.

Hence, the value of $C (6, 1) = 6$ .

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