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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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Solution:      S=    1,2,3,4 , clearly each elements can be put

                    in 3 ways either in subsets or we don't put in any subset

                 	herefore    Total number of ordered pairs

                                                    frac3	imes 3	imes 3	imes 3-12=41.

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Deependra Verma

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