Relations and Functions (Class 11) · JEE Preparation Mathematics

If A = {1, 2} and B = {a, b, c}, how many relations can be defined from A to B?

Practice question from Relations and Functions (Class 11) (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-16367D

If A = {1, 2} and B = {a, b, c}, how many relations can be defined from A to B?

  1. A.6
  2. B.12
  3. C.32
  4. D.64Correct answer

Solution

The Cartesian product A×BA \times B has 2×3=62 \times 3 = 6 ordered pairs. A relation is any subset of A×BA \times B, so the number of relations is 26=642^6 = 64.

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