Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)? Suppose B′ contains 74 elements. How many elements does B contain? Suppose 65≤n(C)≤8765≤n(C)≤87. What are the smallest and largest possible values of n(C′)?

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130.

What are the smallest and largest possible values of n(A)?

Suppose B′ contains 74 elements. How many elements does B contain?

Suppose 65≤n(C)≤8765≤n(C)≤87. What are the smallest and largest possible values of n(C′)?

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