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Chapter 12: Q61. (page 637)

Evaluate each expression.
$\frac{6!}{2! 4!}$

Short Answer

Expert verified

The value of the expression is $\frac{6!}{2! 4!} = 15$

Step by step solution

Step 1. Given Information.

Given to evaluate the expression $\frac{6!}{2! 4!}$ .

Step 2. Calculation.

$\begin{array}{l} \frac{6!}{2! 4!} = \frac{6 \cdot 5 \cdot 4!}{2 \cdot 1 \cdot 4!} \\ \frac{6!}{2! 4!} = \frac{6 \cdot 5}{2 \cdot 1} \\ \frac{6!}{2! 4!} = \frac{30}{2} \\ \frac{6!}{2! 4!} = 15 \end{array}$

Step 3. Conclusion.

Hence, the value of the expression is $\frac{6!}{2! 4!} = 15$ .

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Evaluate each expression.6!2!4!

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Evaluate each expression.
$\frac{6!}{2! 4!}$