Zaymiey

📐 Mathematics  ·  Sets  ·  JEE

The number of proper subsets of a set with 3 elements is:

Answer: 7.

  • A 7
  • B 8
  • C 6
  • D 5

Correct answer: A. 7

Explanation: A proper subset excludes the set itself, so the count is 2³ − 1 = 7.

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 →