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Let {S}={1,2,3,4}. The total number of unordered pairs of disj

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

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Liam Discussed

Let

S = {1, 2, 3, 4}

. The total number of unordered pairs of disjoint subsets of

S

is equal to

5 mins ago

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5 mins ago

Text solutionVerified

Given,

S = {1, 2, 3, 4}

Each element can be put in

3

ways either in subsets or we don't put in any subset.

Total number of unordered pairs of disjoint subsets,

= \frac{3 ^{n} + 1}{2} = \frac{3 ^{4} + 1}{2} = 41

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Question Text	Let $S = {1, 2, 3, 4}$ . The total number of unordered pairs of disjoint subsets of $S$ is equal to
Answer Type	Text solution:1
Upvotes	150