Let S = {1,2,,3,4}. The total number of unordered pairs of disjoint subsets of S is equal to

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is 41.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

S={1,2,3,4} Each element can be put in 3 ways either in subsets orwe don't put in any subset.So total number of unordered pairs =3×3×3×3−12+1=41

Watch 3-min video & get full concept clarity