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Question

The number of one - one functions that can be defined from A equals left curly bracket a comma b comma c comma d right curly bracket into B equals left curly bracket 1 , 2 comma 3 , 4 right curly bracket is

  1. 12    
  2. 24    
  3. 18    
  4. 26    

Hint:

An injective function (injection) or one-to-one function is a function that maps distinct elements of its domain to distinct elements of its codomain.
One-to-One functions define that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B).

The correct answer is: 24


     Given : Two functions A equals left curly bracket a comma b comma c comma d right curly bracket and B equals left curly bracket 1 , 2 comma 3 , 4 right curly bracket
    One-to-One functions define that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B).
    Each element of set A will pair with one element from set B and other elements of set A cannot pair with the paired element of A.
    Thus, number of one - one function is 4! =  24

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