Represent the problem with Venn diagram and answer the question based on the diagram. Twenty-four people in town have decided to form three clubs. One-half of the people belong to each club, one-third of the people to each pair of club and one-fourth of the people to all three clubs. Questions:  How many people belong to at least one club? How many people belong to none?

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Represent the problem with Venn diagram and answer the question based on the diagram.

Twenty-four people in town have decided to form three clubs. One-half of the people belong to each club, one-third of the people to each pair of club and one-fourth of the people to all three clubs.

Questions: 

How many people belong to at least one club?

How many people belong to none?

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