S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set A={3,9,11,13,14,17,19,20}A={3,9,11,13,14,17,19,20} Set B={2,3,5,6,9,10,11,14,15,16,18}B={2,3,5,6,9,10,11,14,15,16,18} Set C={1,2,3,10,16,19,20}C={1,2,3,10,16,19,20} Find the number of elements in the set (A∩B)(A∩B) n(A∩B)n(A∩B) = Find the number of elements in the set (B∩C)(B∩C) n(B∩C)n(B∩C) = Find the number of elements in the set (A∩C)(A∩C) n(A∩C)n(A∩C) =
S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set A={3,9,11,13,14,17,19,20}A={3,9,11,13,14,17,19,20} Set B={2,3,5,6,9,10,11,14,15,16,18}B={2,3,5,6,9,10,11,14,15,16,18} Set C={1,2,3,10,16,19,20}C={1,2,3,10,16,19,20} Find the number of elements in the set (A∩B)(A∩B) n(A∩B)n(A∩B) = Find the number of elements in the set (B∩C)(B∩C) n(B∩C)n(B∩C) = Find the number of elements in the set (A∩C)(A∩C) n(A∩C)n(A∩C) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let SS be the universal set, where:
S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20}
Let sets AA and BB be subsets of SS, where:
Set A={3,9,11,13,14,17,19,20}A={3,9,11,13,14,17,19,20}
Set B={2,3,5,6,9,10,11,14,15,16,18}B={2,3,5,6,9,10,11,14,15,16,18}
Set C={1,2,3,10,16,19,20}C={1,2,3,10,16,19,20}
Find the number of elements in the set (A∩B)(A∩B)
n(A∩B)n(A∩B) =
Find the number of elements in the set (B∩C)(B∩C)
n(B∩C)n(B∩C) =
Find the number of elements in the set (A∩C)(A∩C)
n(A∩C)n(A∩C) =
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