Q. 21 - Calculus

Question

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

$\frac{8!}{10!}$

Step-by-Step Solution

Answer

The value is $\frac{1}{90}.$

Step 1. Given information.

The given expression is $\frac{8!}{10!}$.

Step 2. Value of the expression.

Now,

$$\begin{gathered} n !=n(n-1) ! \\ \frac{8!}{10!}=\frac{8!}{10\times 9\times 8!} \\ =\frac{1}{90} \end{gathered}$$