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JEE Advanced 2010Paper 2
Exam
JEE Advanced
Year
2010
Paper
Paper 2
Subject
Mathematics
Chapter
Sets and Relations

JEE Advanced 2010 · Paper 2 · Mathematics · Sets and Relations

Let S=\ 1,2,3,4\ . The total number of unordered pairs of disjoint...

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

Options

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

Correct answer

D. 41

Step-by-step solution

Let A∩B=ϕ,A,B⊂SA \cap B=\phi, A, B \subset S34=81+12=41⇒34+12=41\begin{aligned}& 3^4=\frac{81+1}{2}=41 \\ \Rightarrow \quad & \frac{3^4+1}{2}=41 \end{aligned}$
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