Question

which of the following is a partition of the set X={1,2,3,4,5,6}
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Answer 1

Answer:

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Answer 2

Answer:

The given collection of subsets is not a partition, because the subsets are not disjoint.

Step-by-step explanation:

$S=\{1,2,3,4,5,6\}$

$\{1,2\},\{2,3,4\},\{4,5,6\}$

$\{1,2\} and \{2,3,4\}$ are not disjoint, because the two subsets have element 2 in common.

$\{2,3,4\} and \{4,5,6\}$ are not disjoint, because the two subsets have element 4 in common.

The given collection of subsets is not a partition, because the subsets are not disjoint.