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27 Sep 2020, 00:58
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90% (00:38) correct
10%
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For every integer n greater than 1, n! is defined to be the product of the first n positive integers. For example, 4!=1x2x3x4=24. which of the following is equal to (8!)(7!)?
A) 56
B) 8x7!
C) 7x8!
D) 8x(7!)^2
E) (56!)^2
A) 56
B) 8x7!
C) 7x8!
D) 8x(7!)^2
E) (56!)^2
27 Sep 2020, 07:37
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n! is n * (n - 1) * (n - 2) * .... * 1. Therefore n! can be written as n * (N - 1)! or n*(n - 1) * (n - 2)! and so on.
8! is 8 * 7 * 6 *...*1 = 8 * 7!
8! * 7! = 8 * 7! * 7! = \(8 * 7!^2\)
Option D
Arun Kumar
8! is 8 * 7 * 6 *...*1 = 8 * 7!
8! * 7! = 8 * 7! * 7! = \(8 * 7!^2\)
Option D
Arun Kumar
27 Sep 2020, 08:13
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[quote="hkhanexam"]For every integer n greater than 1, n! is defined to be the product of the first n positive integers. For example, 4!=1x2x3x4=24. which of the following is equal to (8!)(7!)?
(8!)(7!) = 8*(7!)(7!) = 8*(7!)^2
IMO D
(8!)(7!) = 8*(7!)(7!) = 8*(7!)^2
IMO D
