Evaluate the factorial expression. (7-4)!
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F022ae44f-636d-4b99-a07b-5f1c14bbf99e%2Fed611a67-54b1-40e1-bb44-551a31db2b6c%2F4r58xs2_processed.png&w=3840&q=75)
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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