Q. 26 - Calculus

Question

Simplify the quotients in Exercises 21–28 without using a calculator.

$\frac{6!}{(3!)!}$

Step-by-Step Solution

Answer

The value is $1.$

Step 1. Given information.

The given expression is $\frac{6!}{(3!)!}.$

Step 2. Value of the expression.

We know,

$$\begin{gathered} n !=n(n-1) ! \\ Therefore, \\ \frac{6!}{(3!)!}=\frac{6!}{(3\times 2\times 1)!} \\ =\frac{6!}{6!} \\ =1 \end{gathered}$$