JEE Previous Year Question

Let S = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of S is equal to

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

  1. A25
  2. B34
  3. C42
  4. D41

Correct answer: D

Solution

(d)S = {1, 2, 3, 4}
Each element can be put in 3 ways either in subsets or we don’t put in any subset.
So total number of unordered pairs = + 1 = 41. [Both subsets can be empty also]

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