Gujarati
Hindi
1.Set Theory
normal

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

A

$25$

B

$34$

C

$42$

D

$41$

(IIT-2010)

Solution

Total number of unordered pairs of disjoint subsets

$=\frac{3^4+1}{2}=41 \text {. }$

Standard 11
Mathematics

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