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explain in detail
Explain why P = {{1, 2,5}, {3,6},{4,5}} is NOT a partition of the set S = {1, 2, 3, 4, 5, 6} Type your answer in the box prov
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Answer #1

partition of any set means we have to partition the given set into subsets in such a way such that union of all subsets is equal to original set and any pair of interection of two subset is empty.

means in any of two subset we do not have any element common but in above example we are given three subsets and we can clearly see that intersection of first and third subset is not empty

they have one common element which is 5

hence we can say that given is not the partition of the set S = {1,2,3,4,5,6}

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