JEE Mathematics · Hard

Sets, Relations and Functions: JEE Main MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
JEE MainHardQuestion 410007

Question

The number of subsets of a set with n elements is:
  1. A
    2ⁿ
    Correct
  2. B
    n!
  3. C
  4. D
    2n

Correct answer

2ⁿ

Explanation

Each element can either be included or excluded from a subset → 2 choices per element → 2ⁿ total subsets (including empty set and the set itself).