Chapter 13, Problem 5CT

To determine

The value of $7!$.

Answer to Problem 5CT

Solution:

The value of $7!$ is $5040$.

Explanation of Solution

Given information:

The expression is $7!$.

Explanation:

For any positive number $n$, the factorial of $n$ is written as,

$n!=n\cdot \left(n-1\right)\cdot \mathrm{........}\cdot 3\cdot 2\cdot 1$.

Hence, $7!=7\cdot \left(7-1\right)\cdot \mathrm{........}\cdot 3\cdot 2\cdot 1$

$\Rightarrow 7!=7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1$

$\Rightarrow 7!=5040$

Therefore, value of $7!$ is $5040$.