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How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into

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Find no. of non negative integral solutions x 1 +x 2 +x 3 +4x 4 =20 Solution)  140. Break them into prime factors . Put 4 = 2^2 and every variable will have factors in 2,3,5 with

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