How many subsets does an empty set have?

How many subsets does an empty set have?

  • (a) 0
  • (b) 1
  • (c) 2
  • (d) 3
Solution:
  • An empty set is denoted as and has 0 elements.
  • For a set with n elements, the number of subsets is given as 2^n. If n is 0, 2^0 is 1.
  • Thus, the empty set has exactly 1 subset, which is the empty set itself.
  •  So, option (b) is correct
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Related MCQs:

 ‘NATO’ is an abbreviation of:

  • (A) North Atlantic Treaty Organization
  • (B) Non-Aligned Treaty Organization
  • (C) Non-Aligned Trading Organization
  • (D) North American Transport Organization

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