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# Each of the following is equivalent to 6! EXCEPT

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Each of the following is equivalent to 6! EXCEPT  [#permalink]

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03 Mar 2019, 23:58
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Difficulty:

15% (low)

Question Stats:

82% (01:05) correct 18% (00:57) wrong based on 38 sessions

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Each of the following is equivalent to 6! EXCEPT

A. 3!*5!
B. 4!*30
C. 6^2*20
D. 7!/7
E. 12!/2!

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3092
Re: Each of the following is equivalent to 6! EXCEPT  [#permalink]

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04 Mar 2019, 00:22

Solution

To find:
• Among the given options, which one is not equal to 6!

Approach and Working:
Let us simplify each option choice individually as following:

• 3! * 5! = 6 * 5! = 6!
• 4! * 30 = 4! * 5 * 6 = 6!
• 6^2 * 20 = 6 * 6 * 4 * 5 = 6 * 3 * 2 * 4 * 5 = 6 * 5 * 4 * 3 * 2 = 6!
• 7!/7 = 7 * 6!/7 = 6!
• 12!/2! = 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12, which is not equal to 6!

Hence, the correct answer is option E.

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Re: Each of the following is equivalent to 6! EXCEPT  [#permalink]

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04 Mar 2019, 00:59
Bunuel wrote:
Each of the following is equivalent to 6! EXCEPT

A. 3!*5!
B. 4!*30
C. 6^2*20
D. 7!/7
E. 12!/2!

simply solve for each given expression
6!= 720
all options give 720 except 12!/2
IMO E
Target Test Prep Representative
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Joined: 14 Oct 2015
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Re: Each of the following is equivalent to 6! EXCEPT  [#permalink]

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06 Mar 2019, 20:07
Bunuel wrote:
Each of the following is equivalent to 6! EXCEPT

A. 3!*5!
B. 4!*30
C. 6^2*20
D. 7!/7
E. 12!/2!

Since 12!/2! = 12 x 11 x 10 x 9 x … x 3, we see that it’s much bigger than 6!.

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Re: Each of the following is equivalent to 6! EXCEPT   [#permalink] 06 Mar 2019, 20:07
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