Some useful properties of set operations are as follows: (proofs may be as exercise) Commutativity: AUB= BUA, also, AnB=BnA Associativity: AU (BUC) = (AUB) U C, also, An (B n C) = (An B) nc Distributive laws: AU (BNC) = (AUB) n (AUC); An (BUC) = (An B) U (ANC) De Morgan's laws: (AUB)C=AC n BC; (ANB)C=AC UBC DOD
Some useful properties of set operations are as follows: (proofs may be as exercise) Commutativity: AUB= BUA, also, AnB=BnA Associativity: AU (BUC) = (AUB) U C, also, An (B n C) = (An B) nc Distributive laws: AU (BNC) = (AUB) n (AUC); An (BUC) = (An B) U (ANC) De Morgan's laws: (AUB)C=AC n BC; (ANB)C=AC UBC DOD
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Some useful properties of set operations are as follows: (proofs may be as exercise)
Commutativity: AUB=BU A, also, An B = BnA
Associativity: AU (BUC) = (AUB) U C, also, An (B nC) = (An B) nC
Distributive laws: AU (BNC) = (AUB) n (AUC); An (BUC) = (An B) u (ANC)
De Morgan's laws: (AUB) = AC n BC; (An B) = AC UBC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5d888c4-34df-48d6-9f29-727a3238dd4b%2F70bd73df-b225-4a2f-920e-df013fb7d88c%2Fzqv6sk_processed.png&w=3840&q=75)
Transcribed Image Text:Some useful properties of set operations are as follows: (proofs may be as exercise)
Commutativity: AUB=BU A, also, An B = BnA
Associativity: AU (BUC) = (AUB) U C, also, An (B nC) = (An B) nC
Distributive laws: AU (BNC) = (AUB) n (AUC); An (BUC) = (An B) u (ANC)
De Morgan's laws: (AUB) = AC n BC; (An B) = AC UBC
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