Question

Which of the following are partitions of the set A = {1, 2, 3, 4, 5, 6, 7, 8)? For those that are not, explain why not. (a) S = {1, 2, (3, 4, 5), (6, 7, 8}} (b) P = {{1, 5), (6, 7, 2}, {4, 3, 5}, {8}} (c) II = {{1, 8}, {4, 3, 5}, {7, 2}} (d) r = {{4, 2, 3}, {5, 1, 8}, {6, 7}}​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

We recall the concept of partition

Partition: A partition of a set is to group its elements into non-empty subsets.

Given:

$A={1,2,3,4,5,6,7,8}$

S={$1,2,(3,4,5),(6,7,8)$} is a partition of a set

P={$(1,5),(6,7,2),(4,3,5),8$} is also a partition.

Similarly option c) and d) is also correct