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01 Jan 2024, 02:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (00:55) correct
16%
(01:17)
wrong
based on 195
sessions
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Which of the following is equal to \(n!*(n+1)!\)?
A. \((n!)^2\)
B. \((n+1)!^2\)
C. \(n!^3(n+1)!^2\)
D. \(n!^3(n+1)\)
E. \(n!^2(n+1)\)
A. \((n!)^2\)
B. \((n+1)!^2\)
C. \(n!^3(n+1)!^2\)
D. \(n!^3(n+1)\)
E. \(n!^2(n+1)\)
01 Jan 2024, 05:47
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We know that (n+1)! = n!*(n+1)
So, n!*(n+1)! can be expanded as n!*(n!*(n+1)) = [n!^2](n+1)
E. n!^2 * (n+1) matches our expanded expression and is the correct answer
So, n!*(n+1)! can be expanded as n!*(n!*(n+1)) = [n!^2](n+1)
E. n!^2 * (n+1) matches our expanded expression and is the correct answer
01 Jan 2024, 06:58
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E
I used n = 2 as an example and it worked
Posted from my mobile device
I used n = 2 as an example and it worked
Posted from my mobile device
