Questions: Evaluate the expression. If the answer is not an integer, round to four decimal places. 6! Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value is not an integer, 6!= . (Round to four decimal places as needed.) B. The value is an integer, 6!= . (Type an integer.)

Evaluate the expression. If the answer is not an integer, round to four decimal places.
6!

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The value is not an integer, 6!= .
(Round to four decimal places as needed.)
B. The value is an integer, 6!= .
(Type an integer.)

Transcript text: Evaluate the expression. If the answer is not an integer, round to four decimal places. $6!$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value is not an integer, $6!=$ $\square$ . (Round to four decimal places as needed.) B. The value is an integer, $6!=$ $\square$ . (Type an integer.)

Solution

Solution Steps

Step 1: Definition

The factorial of a non-negative integer $n$, denoted by $n!$, is the product of all positive integers less than or equal to $n$. Formally, $n! = n \times (n-1) \times (n-2) \times \ldots \times 2 \times 1$, with the special case that $0! = 1$.

Step 2: Calculation Method

For $n = 6$, $n! = 6 \times 5 \times 4 \times 3 \times 2 = 720$.