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#m = (m!)!

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#m = (m!)!

by sanju09 » Fri Aug 10, 2012 2:44 am
If #m = (m!)! for some positive integer m, what is the value of m?
I. 2! = (m - 1)!.
II. #m is six times of 5!.


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by niketdoshi123 » Fri Aug 10, 2012 2:54 am
sanju09 wrote:If #m = (m!)! for some positive integer m, what is the value of m?
I. 2! = (m - 1)!.
II. #m is six times of 5!.


Princeton
I
2! = (m-1)!
=> 2 = (m-1)!
=> m-1 = 2
=> m = 3

II
#m = (m!)!
#m = 6*5! = 6!
=> (m!)! = 6!
=> m! = 6
=> m! = 3!
=> m = 3
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by sanju09 » Fri Aug 10, 2012 3:01 am
niketdoshi123 wrote:
sanju09 wrote:If #m = (m!)! for some positive integer m, what is the value of m?
I. 2! = (m - 1)!.
II. #m is six times of 5!.


Princeton
I
2! = (m-1)!
=> 2 = (m-1)!
=> m-1 = 2
=> m = 3

II
#m = (m!)!
#m = 6*5! = 6!
=> (m!)! = 6!
=> m! = 6
=> m! = 3!
=> m = 3
Well done niketdoshi123, please tell readers the answer of this DS too!
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by niketdoshi123 » Fri Aug 10, 2012 3:34 am
niketdoshi123 wrote:
sanju09 wrote:If #m = (m!)! for some positive integer m, what is the value of m?
I. 2! = (m - 1)!.
II. #m is six times of 5!.


Princeton
I
2! = (m-1)!
=> 2 = (m-1)!
=> m-1 = 2
=> m = 3

II
#m = (m!)!
#m = 6*5! = 6!
=> (m!)! = 6!
=> m! = 6
=> m! = 3!
=> m = 3
The correct answer is D
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