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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

The number of bijective functions from a set with n elements to itself is:

Answer: n!.

  • A 2<sup>n</sup>
  • B n<sup>n</sup>
  • C n!
  • D

Correct answer: C. n!

Explanation: A bijection from a set to itself is a permutation, and there are n! of them.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →