Let, x belongs to positive integers. A, B and C are the sets expressed with the following set buildingnotations.A = {x |x is prime number not exceeding 15}B = {x|x is positive odd integers not exceeding 15}C = {x |x is positive integers not exceeding 15 and divided by both 2 and 3}Now, assume that D = {Set of the digits of your ID}i)Draw a Venn diagram to represent A, B, C and D.ii)ii) | {Bn C} x D|iii)iii) P (Bn D) =?Consider that there are 40 students in your class. Now, assume that,A = Number of Argentina fan = 13B = Number of Brazil fan = 13G= Number of Germany fan = 18Both Argentina and Brazil fan = 5Both Argentina and Germany fan = 6Both Germany and Brazil fan = 5And 10 students support exactly two of them.i)How many students are not fan of all these teams?ii)Find the number of students who are fan of only one team?iii)Find the number of students who are fan of all three teams.

Given: A={x|x is a prime number not exceeding 15} B={x|x is a positive odd integer not exceeding 15}…

Let, x belongs to positive integers. A, B and C are the sets expressed with the following set buile notations. A = {x |x is prime number not exceeding 15} B = {x|x is positive odd integers not exceeding 15} C = {x |x is positive integers not exceeding 15 and divided by both 2 and 3}

Let, x belongs to positive integers. A, B and C are the sets expressed with the following set buile notations. A = {x |x is prime number not exceeding 15} B = {x|x is positive odd integers not exceeding 15} C = {x |x is positive integers not exceeding 15 and divided by both 2 and 3}

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

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Let, x belongs to positive integers. A, B and C are the sets expressed with the following set building
notations.
A = {x |x is prime number not exceeding 15}
B = {x|x is positive odd integers not exceeding 15}
C = {x |x is positive integers not exceeding 15 and divided by both 2 and 3}
Now, assume that D = {Set of the digits of your ID}
i)
Draw a Venn diagram to represent A, B, C and D.
ii)
ii) | {Bn C} x D|
iii)
iii) P (Bn D) =?
Consider that there are 40 students in your class. Now, assume that,
A = Number of Argentina fan = 13
B = Number of Brazil fan = 13
G= Number of Germany fan = 18
Both Argentina and Brazil fan = 5
Both Argentina and Germany fan = 6
Both Germany and Brazil fan = 5
And 10 students support exactly two of them.
i)
How many students are not fan of all these teams?
ii)
Find the number of students who are fan of only one team?
iii)
Find the number of students who are fan of all three teams.

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