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Mathematics · JEE | RELATIONS AND FUNCTIONS

हिन्दी

The number of all possible functions from a set \( A \) containing \( m \) elements to a set \( B \) containing \( n \) elements is:

  1. A
    \( m! \)
  2. B
    \( m^n \)
  3. C
    \( n! \)
  4. D
    \( n^m \)
View Answer & Solution

Correct answer · Option D

\( n^m \)

Explanation

Each of the \( m \) elements in set \( A \) can be mapped to any of the \( n \) elements in set \( B \), giving \( n \times n \times \dots \times n \) (\( m \) times) = \( n^m \) functions.
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