Maths-
General
Easy

Question

A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relation which can be defined from A to B is

  1. 2 to the power of 5 end exponent    
  2. 2 to the power of 10 end exponent minus 1    
  3. 2 to the power of 12 end exponent minus 1    
  4. none of these    

The correct answer is: none of these


    To find the number of relation which can be defined from A to B.
    Given:
    n(A)=3=m
    n(B)=4=n
     
    Number of relation 
    =2 to the power of m n end exponent
    =2 to the power of 3 x 4 end exponent
    =2 to the power of 12.

    Therefore, the number of relations which can be defined from A to B are 2 to the power of 12..

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