Let . The total number of unordered pairs of disjoint subsets of S is equal to
121
130
128
122
Given that,
If sets A and B are disjoint sets, then
Each component of S may also be a component of either A or B or neither of the subsets.
Each element has three possible configurations.
There are choices because there are 5 elements.
The total number of ordered pairs of subsets is given by,
Thus, the total number of unordered pairs is given by,
Therefore, the number of unordered pairs is 122.
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