Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
, the total number of unordered pair of disjoints subsets of 
is equal to 
(Decoding the Question
Total number of unordered pairs of disjoint subsets of any set containing 
elements is equal to 
)
Text Solution
Verified by ExpertsThe correct answer is:
41
(41)
Given, 
Let 
and 
be two disjoint subsets of 
.
So, for any element 
is either in 
or in 
or none.
∴ Total option 
Here, 
, except when 
(ordered pair) are there for which 
Hence, total number of unordered pairs of disjoint subset
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