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how to find total no. of unordered pairs of disjoint subsets of a finite set?

how to find total no. of unordered pairs of disjoint subsets of a finite set?

Grade:11

5 Answers

Aman Bansal
592 Points
8 years ago

Dear Students,

Total disjoint subsets are 2^n-1 where n is the no of elements in the set.

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mycroft holmes
272 Points
8 years ago

Suppose A and B are two such disjoint subsets of the set S. Then every element can go into A or B or the set S (3 choices). We only need to exclude the possibility of all elements choosing to be in S itself. Hence the number of ways is 3n-1

Suman Anand
18 Points
6 years ago
to find total no. of unordered pairs of disjoint subsets of a finite set---
If a finite set is given then take the no of elements of the set as “n” then solve :
formulae is -----------              (3^n+1)/2
n uh will get the ans...
thank you 
Suman Anand
A student of Vidyamandir Mandir Classes.
Gaurav Kumar
37 Points
3 years ago
If there are pairs of unordered disjoint sets could be found, 3 is to the power n-1/2+1. This formula mostly asked in IIT and competitive questions.
stuti tiwari
11 Points
3 years ago
Total subsets=( 3^n)+1So total unordered subsets will be half of it ....=(( 3^n )+1)/2Where n is the total no of discreet elements given in the finite set

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