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Question 410010
JEE Mathematics · Easy

Sets, Relations and Functions: Mixed MCQ

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MixedEasyQuestion 410010

Question

If A has 3 elements and B has 4 elements, the number of possible relations from A to B is:
  1. A
    2¹²
    Correct
  2. B
    2⁷
  3. C
    3×4 = 12
  4. D
    3⁴

Correct answer

2¹²

Explanation

A relation from A to B is a subset of A × B. |A × B| = 3 × 4 = 12. Number of subsets = 2¹² = 4096.

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