Problem

Evaluate the expression. If the answer is not an integer, round to four decimal places. $(21-13) !$ Select the correct answer below and fill in the answer box to complete your choice. A. The value is an integer. $(21-13) !=$ B. The value is not an integer. $(21-13) ! \approx \quad$ (Round to four decimal places as needed.)

Solution

Step 1 :The question is asking for the factorial of the result of the expression \((21-13)\). The factorial of a number is the product of all positive integers less than or equal to that number.

Step 2 :First, we need to calculate the result of the expression \((21-13)\).

Step 3 :Then, we will calculate the factorial of the result.

Step 4 :The factorial of a number is always an integer, so we can already eliminate option B.

Step 5 :Let's calculate this: the result of the expression \((21-13)\) is 8.

Step 6 :The factorial of 8 is 40320.

Step 7 :Final Answer: The value is an integer. \((21-13) ! = \boxed{40320}\)

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Source: https://solvelyapp.com/problems/ubtwIMoVbw/

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