Explain to me in the simplest way on how to solve for this problem Draw a Venn diagram and use the given information to fill in the number of elements in each region.n(A) = 57, n(An B) = 35, n(AUB) = 83, n(An Bn C) = 14, n(An C) = 20, n(B n C) = 25, n(C)= 49, n(B') = 52Complete the Venn diagram.US=t=u=V =W =X =y =Z=AW49yCBXuZ

Given the number of elements in each region,.The aim is to complete the Venn diagram.

Answered: Draw a Venn diagram and use the given…

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

Explain to me in the simplest way on how to solve for this problem

Draw a Venn diagram and use the given information to fill in the number of elements in each region.
n(A) = 57, n(An B) = 35, n(AUB) = 83, n(An Bn C) = 14, n(An C) = 20, n(B n C) = 25, n(C)= 49, n(B') = 52
Complete the Venn diagram.
U
S=
t=
u=
V =
W =
X =
y =
Z=
A
W
49
y
C
B
X
u
Z

Expert Solution

Step 1: Given the information

Given the number of elements in each region,

$n open parentheses A close parentheses equals 57 comma space n open parentheses A intersection B close parentheses equals 35 comma space n open parentheses A union B close parentheses equals 83 comma space n open parentheses A intersection B intersection C close parentheses equals 14 comma space n open parentheses A intersection C close parentheses equals 20 comma space n open parentheses B intersection C close parentheses equals 25 comma space n open parentheses C close parentheses equals 49 comma space n open parentheses B apostrophe close parentheses equals 52$ .

The aim is to complete the Venn diagram.