Set Theory and Mathematical Induction

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}12:{ xNxU

8,6,4,2A

10,7,4,1B 81: xxC

A

BA

CBA

Let

Evaluate the following sets and express each answer in

brace notation, Venn diagram and bit representation:

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10:

5,4,3,2,1

10,7,4,3,1

10:

thanlessisthatnumberoddanisxxC

B

A

xZxU

Determine the resulting sets of the following andexpress your answer using brace notation, Venndiagram, and bit representation.

BA

CA

A B C

CBA

CBAA

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Principle of Inclusion Exclusion

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Examples:

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MATHEMATICAL INDUCTION

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Examples

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