Q. 22 - Calculus

Question

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

$\frac{700!}{699!}$

Step-by-Step Solution

Answer

The value is $700$.

Step 1. Given information.

The given expression is $\frac{700!}{699!}$.

Step 2. Value of the expression.

We know,

$$\begin{gathered} n !=n(n-1) ! \\ Therefore, \\ \frac{700!}{699!}=\frac{700\times 699!}{699!} \\ =700 \end{gathered}$$