## Finite sets: theory, counting, and applications |

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### Contents

Some Basic Properties of Sets | 1 |

Operations with Sets | 15 |

Probability Space and Boolean Algebra | 47 |

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### Common terms and phrases

aces allergic to emu answer Ball Number Baron bers binomial coefficient binomial theorem Boolean algebra cell cent are loyal chance situation chapter compartments complement counting number cross-partition cue balls defined denote the number denote the set eight-balls empty set emu feathers event exactly example false fifteen-ball Figure 2-1 lb finite five FlGURE four axioms gallstones Hence illustrate integer intersection loyal women mathematical meaningful definition means ment multinomial coefficient n-ball urn n-member set nonnegative integer notion of set number of members number sequence number set occupancy patterns partition Pascal's Triangle permutations possible outcomes primitive notions probability domain probability law probability problem probability space proper subset properties Question refinement repetition replacement satisfies all four satisfy Axiom selected set theory shaded point set significant outcomes Suppose symbol Theorem 44 thing tion total number tree diagram true union universal set urn containing Venn diagram word