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Chapter 12: Q12. (page 641)

Evaluate each expression
$P (8, 2)$

Short Answer

Expert verified

The value of $P (8, 2) = 56$ .

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression $P (8, 2)$ .

02

Step 2. Calculation.

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

Here n=8,r=2

Plugging the values:

$\begin{array}{l} P (8, 2) = \frac{8!}{(8 鈭� 2)!} \\ P (8, 2) = \frac{8!}{6!} \\ P (8, 2) = \frac{8 鈰� 7 鈰� 6!}{6!} \\ P (8, 2) = 8 鈰� 7 \\ P (8, 2) = 56 \end{array}$

03

Step 3. Conclusion.

Hence, the value of $P (8, 2) = 56$ .

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