Published by:
CGP EDU Academic Team
Published on: August 14, 2026
X = {1, 2, 3, 4, ...... 2017} and A ⊂ X ; B ⊂ X ; A ∪ B ⊂ X here P ⊂ Q denotes that P is subset of Q(P ≠ Q). Then number of ways of selecting unordered pair of sets A and B such that A ∪ B ⊂ X.
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Ordered pair = total – (A ∪ B = X) = 4 n – 3 n
Subsets of X = 2 n will not repeat in both but here the whole set X has not been taken
So subsets of x which are not repeated (2 n – 1)
Hence unordered pair = 
+ (2 n – 1)
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