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Chapter 12: Q58. (page 637)

Evaluate each expression.
$\frac{7!}{3!}$

Short Answer

Expert verified

The value of the expression is $\frac{7!}{3!} = 840$

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression $\frac{7!}{3!}$ .

02

Step 2. Calculation.

$\begin{array}{l} \frac{7!}{3!} = \frac{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3!}{3!} \\ \frac{7!}{3!} = 7 \cdot 6 \cdot 5 \cdot 4 \\ \frac{7!}{3!} = 840 \end{array}$

03

Step 3. Conclusion.

Hence, the value of the expression is $\frac{7!}{3!} = 840$ .

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