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Question: Evaluate the expression. If the answer is not an integer, round to four decimal places. 3! Select…
Evaluate the expression. If the answer is not an integer, round to four decimal places. 3! Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value is not an integer, 3! = (Round to four decimal places as needed.) B. The value is an integer, 3! = (Type an integer.)
Solution
The problem is to evaluate the expression \(3!\), which represents the factorial of 3. Start by understanding that factorial of a positive integer \(n\) is the product of all positive integers less than or equal to \(n\). Calculate \(3!\) as follows: \(3! = 3 \times 2 \times 1\) Therefore, \[ 3! = 6 \] Since the result is an integer, the correct choice is: B. The value is an integer, \(3! = 6\).