Two sets are called disjoint if they have no elements in common, i.e., if their intersection is the empty set. Prove that finite sets A and B are disjoint if and only if |A| + |B| = |A ∪ B|. Use the definition of ∅ and the inclusion–exclusion principle in your proof. Please write and show the proof.

Two sets are called disjoint if they have no elements in common, i.e., if their intersection is the empty set. Prove that finite sets A and B are disjoint if and only if |A| + |B| = |A ∪ B|. Use the definition of ∅ and the inclusion–exclusion principle in your proof. Please write and show the proof.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 4CR

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