In a club of 30 people all of them belong to at least one group chess drama and art, 6 people belong to only to the art group, 5 people belong to all the 3 group 2 people have joined the chess and the art group but not the drama group 15 people belong to art group 2 people have joined only the chess group 3 people have joined only the drama group
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Step-by-step explanation:
The Klein four group is
Z2×Z2,
where Z2 is the cyclic group of 2 elements. In this group, every element has order at most 2, while in a cyclic group of order 4, two elements have order 4, hence they cannot be isomorphic.
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