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Evaluate the factorial expression. (7-4)!

Evaluate the factorial expression. (7-4)!

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Evaluate the Factorial Expression** Consider the expression \((7 - 4)!\). To solve this, we first simplify the expression in the parentheses: \[7 - 4 = 3\] Now, we need to evaluate the factorial of 3, denoted as \(3!\). The factorial function is the product of all positive integers up to a given number \(n\). Thus, for \(3!\): \[3! = 3 \times 2 \times 1 = 6\] In the image, it appears there is an error in the evaluation step where \( (7-4)! \) is erroneously calculated as 5,016. The correct calculation is: \[ (7-4)! = 3! = 6 \] No graphs or diagrams are present in the image.
Transcribed Image Text:**Evaluate the Factorial Expression** Consider the expression \((7 - 4)!\). To solve this, we first simplify the expression in the parentheses: \[7 - 4 = 3\] Now, we need to evaluate the factorial of 3, denoted as \(3!\). The factorial function is the product of all positive integers up to a given number \(n\). Thus, for \(3!\): \[3! = 3 \times 2 \times 1 = 6\] In the image, it appears there is an error in the evaluation step where \( (7-4)! \) is erroneously calculated as 5,016. The correct calculation is: \[ (7-4)! = 3! = 6 \] No graphs or diagrams are present in the image.
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