📐 Mathematics · Relations and Functions · JEE

If n(A) = 4, n(B) = 6, n(A ∪ B) = 8, then n(A ∩ B) =

Answer: 2.

Correct answer: A. 2

Explanation: Inclusion-exclusion formula: n(A∪B) = n(A)+n(B)-n(A∩B). Rearrange: n(A∩B) = n(A)+n(B)-n(A∪B) = 4+6-8 = 10-8 = 2. Answer: n(A∩B) = 2

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.