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

If A has m elements and B has n elements with m > n, the number of one-one functions from A to B is:

Answer: 0.

Correct answer: C. 0

Explanation: By the pigeonhole principle two elements of A must share an image, so no injective function exists.

Concept context

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