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Mathematics · JEE | RELATIONS AND FUNCTIONS

हिन्दी

Let \( A = \{1, 2\} \) and \( B = \{3, 4\} \). The total number of relations that can be defined from \( A \) to \( B \) is:

  1. A
    4
  2. B
    8
  3. C
    16
  4. D
    64
View Answer & Solution

Correct answer · Option C

16

Explanation

The number of relations from \( A \) to \( B \) equals the number of subsets of \( A \times B \), which is \( 2^{n(A)n(B)} = 2^{2 \times 2} = 2^4 = 16 \).
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