Let X be the universal set for sets A and B. If n(A)=200,n(B)=300 and n(A∩B)=100, then nA′∩B′ is equal to 300 provided n(X) 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

600

700

800

900

answer is B.

(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

Given n(A)=200,n(B)=300 and n(A∩B)=100we know thatn(A∪B)=n(A)+n(B)−n(A∩B)n(A∪B)=200+300−100=400Also, nA′∩B′=n(A∪B)′=n(X)−n(A∪B)⇒300=n(X)−400⇒n(X)=700

Watch 3-min video & get full concept clarity