Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the number of all rational number 
such that
(i) 0 < 
< 1, (ii) m and n are relatively prime
(iii) m n = 25!
Text Solution
Verified by ExpertsThe correct answer is:
A
m, n both product of element of one of the subset of {2 22 , 3 10 , 5 6 , 7 3 , 11 2 , 13, 17, 19, 23} such that mn = 25! ⇒ number of ways of selecting 'm' is 2 9 ways (here n is automatically fixed according to m)
⇒ Total number of required ways = 
= 256
{because in half of the ways 
> 1 and in half of the ways 0 < 
< 1 }
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