Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Sets, Relations and Functions/
Question 410012
JEE Mathematics · Hard

Sets, Relations and Functions: Mixed MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
MixedHardQuestion 410012

Question

The number of functions from a set with m elements to a set with n elements is:
  1. A
    nᵐ
    Correct
  2. B
    mⁿ
  3. C
    m×n
  4. D
    C(m+n, m)

Correct answer

nᵐ

Explanation

For each of the m elements in the domain, there are n choices in the codomain → nᵐ total functions. For injections: n!/(n−m)! (if n ≥ m).

Review Sets, Relations and Functions notesStart timed chapter practice