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📐 Mathematics  ·  Sets  ·  JEE

If A ⊆ B with n(A) = 3 and n(B) = 6, then n(A ∪ B) equals:

Answer: 6.

  • A 3
  • B 6
  • C 9
  • D 18

Correct answer: B. 6

Explanation: Since A ⊆ B, A ∪ B = B, so n(A ∪ B) = 6.

Set Operations: Union, Intersection, ComplementUABA∩BOutside both circles = (A∪B)' = A'∩B' (De Morgan)A∪B = everything in either circle; A∩B = only the overlap

A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.

Concept context

Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range

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