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📐 Mathematics  ·  Relations and Functions  ·  JEE

The number of onto functions from a 4-element set to a 3-element set is:

Answer: 36.

  • A 24
  • B 36
  • C 64
  • D 81

Correct answer: B. 36

Explanation: Surjections from 4 to 3 = 3! · S(4,3) = 6 · 6 = 36.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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