When |S| denotes the number of elements of the set S, and S = {x/1 ≤ x ≤ 100, x € integer } There are three subsets of S, namely sets A, B and C. It is known |A|=(10+k), |B|= (7+2k), |C|= (8+2k), |A∩B|=(2+k), |A∩C|=(3 +k), |B∩C|=2k, |A∩B∩C|=k and |(AUBUC)'|=40 Draw the Venn diagram, determine the value of k ? Determine the number of elements of each set A, B and C?

When |S| denotes the number of elements of the set S, and S = {x/1 ≤ x ≤ 100, x € integer } There are three subsets of S, namely sets A, B and C. It is known |A|=(10+k), |B|= (7+2k), |C|= (8+2k), |A∩B|=(2+k), |A∩C|=(3 +k), |B∩C|=2k, |A∩B∩C|=k and |(AUBUC)'|=40 Draw the Venn diagram, determine the value of k ? Determine the number of elements of each set A, B and 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

100%

When |S| denotes the number of elements of the set S, and S = {x/1 ≤ x ≤ 100, x € integer }

There are three subsets of S, namely sets A, B and C. It is known

|A|=(10+k), |B|= (7+2k), |C|= (8+2k), |A∩B|=(2+k), |A∩C|=(3 +k), |B∩C|=2k, |A∩B∩C|=k

and |(AUBUC)'|=40

Draw the Venn diagram, determine the value of k ?
Determine the number of elements of each set A, B and C?

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