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📐 Mathematics  ·  Sets  ·  JEE

If A = {1, 2, 3}, then the number of elements in the power set P(A) is:

Answer: 8.

  • A 3
  • B 6
  • C 8
  • D 9

Correct answer: C. 8

Explanation: Power set has 2<sup>n</sup> elements. Here n = 3, so |P(A)| = 2<sup>3</sup> = 8.

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

Read the full Sets notes →