Let I be if Niel Ai a nonempty set. A family of sets {Aifier is mutually...
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Let I be if Niel Ai a nonempty set. A family of sets {Aifier is mutually and is pairwise disjoint if for all i j in I, we have j in I, we have disjoint An A, A, n A, a) Give an example of a family of sets (Ailier that is neither pairwise disjoint nor pairwise intersecting. b) Suppose that I contains more than one element. Show: if {A}ier is pair- wise disjoint, then it is mutually disjoint. c) Find a family of sets A1, A2, A3 that is mutually disjoint but not pairwise disjoint. . A family is pairwise intersecting if for all i . Let I be if Niel Ai a nonempty set. A family of sets {Aifier is mutually and is pairwise disjoint if for all i j in I, we have j in I, we have disjoint An A, A, n A, a) Give an example of a family of sets (Ailier that is neither pairwise disjoint nor pairwise intersecting. b) Suppose that I contains more than one element. Show: if {A}ier is pair- wise disjoint, then it is mutually disjoint. c) Find a family of sets A1, A2, A3 that is mutually disjoint but not pairwise disjoint. . A family is pairwise intersecting if for all i .
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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