Discrete Maths - Sets

71. Number of proper subsets of a set of order three

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72. If A be a finite set of size n, then number of elements in the power set of A x A is

  • Option : B
  • Explanation :
    If A  is a finite set with |A| = n elements, then the number of powersets of  A is  2n  and here  we have  2 sets of  A i.e. A*A  i.e. A2 so  total elements = n2 So  powersets pf A*A = 2n^2.
    So answer is (B)
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73. Which of the following set (s) are empty ?

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74. If A = {x, y}, then proper subsets of A are

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75. If R is an equivalence relation on a set A, then R-1 is

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