Question
Set A has 3 elements, and set B has 4 elements. Then the number of injective mappings that can be defined from A to B is:
  1. 24
  2. 12
  3. 64
  4. 144

Answer

  1. 24

Solution:

The total number of injective mappings from the set containing 3 elements into the set containing 4 elements is 4P3 = 4! = 4 × 3 × 2 × 1 = 24.

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