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Bunuel
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m



I am not able to understand from given relations in statments that m!=n so both integer values ' i.e. 1!=1, 2!=2 ' have to be same or is that value of m! has to be equal to n viz. 4!=24, 5!=120..



from 1 ; m!=n
m! = 1,2,3,4,5... so n= 1,2,6,24,120....

by m!=n , will it proof the sufficient at 1!=1 , 2!=2 and in suffcient at 3!=6 and 4!=24 ??

similarly with statement 2 , n!=m we get different and same values...


GMATinsight : sir could you please help in solving this question.. I am not able to understand the question well... on how to prove the statements insufficient.. :|
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Bunuel
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

Archit3110

Given Information: m and n are positive integers

Question: m= ?

Statement 1: m!=n
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Statement 1: n!=m
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Combining the two statements
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Answer: Option E
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Bunuel
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

Archit3110

Given Information: m and n are positive integers

Question: m= ?

Statement 1: m!=n
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Statement 1: n!=m
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Combining the two statements
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Answer: Option E


GMATinsight : understood thank you.. :)
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m and n = +ve intergers

m =?

St 1: m! = n

For example, if m = 1, n=1 as well or if m = 2!(2 x 1 = 2), n = 2 as well. Therefore m takes multiple values here and the statement is not sufficient to answer the question.


St 2: n! = m

Same as St 1

St 1 & St 2: No additional information.

Therefore Answer is E
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Bunuel
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

Par of GMAT CLUB'S New Year's Quantitative Challenge Set

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