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what is set - builder form and roster form

## What will be the best reference books for class 11 cbse?

what is the formula of n(A-B) and n(B-A)

can anyone provide me with class 11 c++ sumita arora solutions

prove A-B = A intersection B complement

prove that (A-B) U (B-A) =(A U B) - (A intersection B)

A and B are two sets such that n(A-B)=20+x, n(B-A)=3x and n(A ∩B)=x+1.Draw a Venn diagram to illustrate this information.Find (i)the value of x (ii)n(AUB)

Two finite sets have m and n elements. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Find the valuesof m and n.In a survey of 100 students, the number of students studying the

various languages were found to be English only 18, English but not

Hindi 23, English and Sanskrit 8, English 26, Sanskrit 48, Sanskrit and

Hindi 8, Number of no language 24. Find

i) How many students were studying Hindi?

ii) How many students were studying English and Hindi ?

1.A survey of 500 television viewers produced the given information;285 watch football;195 watch hockey;115 watch cricket;70 watch football and hockey;45 watch football and cricket ;50 do not watch any of three games.How many watch exactly one of the three games ?

In an exam, 80% passed in math, 72% passed in science, and 13% failed in both, If 312 students passed in both the subjects. Find the total number of students who appeared in the exam.

what is the formula for n(AUBUCUD) /

A and B are two sets then prove that A minus B union B is equal to A union B.

Out of 2000 employees in a office 48 % preferred cofee, 54% liked tea , 64% used to smoke . Out of th etotal employee 28% used cofee and tea , 32% used tea and smoke and 30% prefered cofee and smoke and only 6% did none of these . The number having all th ethrree is ?

If A and B be two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in A ∪ B ? Find, also the maximum number of elements in A ∪ B ?

Draw Venn diagrams of :-

1. A-(BUC)

2.AU(B∩C)

i) 6 ii)8 iii)4 iv)2????

a college awarded 38 medals in football,15 in basketball and 20 in cricket . if these medals went to a total of 58 men and only 3 men got medals in all three sports ,how many received medals in exactly 2 of the sports

prove that :

A-(BnC)=(A-B)U(A-C)

draw venn diagram for :- a) A intersection ( B U C ) b) A U ( B-C)

Show that AUB(A union B) = A Intersection B implies A=B.

Show that An(B-C)=(AnB)-(AnC)

1. In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% buy C. 5% buy AB, 3% buy BC and 4% buy AC. If 2% families buy all the three, find the number of families which buy i) A only ii) B only iii) none of A,BC.

a survey shows that 63% of americans like cheese whereas 76% like apples.If x% of americans like both cheese and apples,find the value of x.

rnplz explain in very a easy step.....

Let A= {a,b,c,e,f), B=(c,d,e,g} and C={b,c,f,g} be subset of the set U={a,b,c,d,e,f,g,h}

draw venn diagrams to represent the following sets

(i) A B (ii) AU(B∩C) (iii) A-B

(iV) B-A (v) A-(B∩C)(vi) (B-C)U(C-B)

3.In a survey of 25 students, it was found that 15 had taken mathematics,12 had taken Physics and 11 had taken chemistry.5 had takenMathematics and Chemistry,9 had taken mathematics and Physics,4 had taken Chemistry and Physics and 3 had taken all the three subjects. Find the number of students that hadsir can you prove the de morgan's law using venn diagram?

write the set in set builder form S=( 1,3,9,27)

7. In a survey of 100 people it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A B, 10 read magazine AC 5 read magazine B and C and 3 read all the three. Find:i) How many read none of the magazines?ii) How many read magazine C only?

how to proof de morgan's law step wise

## Best books for cbse class 11 commerce students?

prove that A intersection (B-C) = (A intersection B) - (A intersection C)

suppose A

_{1}, A_{2},....,A_{30}are 30 sets each with 5 elements and B_{1}, B_{2},...., B_{n}are n sets each with 3 elements. let union ofA_{1}, A_{2},....,A_{30}= union ofB_{1}, B_{2},...., B_{n}=S. Each element of S belongs to 10 of A's and 9 of B's. find n.WHAT DOES IT MEAN????????????

venn diagram for (B-A)'

wat are d uses of sets in our daily life?

In a school there are 200 students. 100 play cricket, 50 play hockey and 60 play basketball.30 students play both cricket and hockey, and 35 play both hockey and basketball. 45 play both basketball and cricket.

Find Out:-

a.)What is the maximum number of students who play at least one game?

b.)What is the maximum number of students who play all the three games?

c.)What is the minimum number of students playing atleast one game?

d.)What is the number of student playing all the three games?

IN A TOWN OF 10,000 FAMILIES IT WAS FOUND THAT 40% FAMILIES BUY NEWSPAPER A, 20% FAMILIES BUY NEWSPAPER B , AND 10% FAMILIES BUY NEWSPAPER C, 5% FAMILIES BUY A AND B , 3% BUY B AND C AND 4% BUY A AND C .IF 2% FAMILIES BUY ALL THE NEWSPAPERS FIND THE NUMBER OF FAMILIES WHICH BUY

1. A ONLY 2. B ONLY 3. NONE OF A ,B , AND C.

Let A,B be any two sets.Using properties of sets prove that -

(i) (A - B) U B = A U B

(ii) (A U B) - A= B - A

IF P(A)=P(B) SHOW THAT A=B

Hi

Prove That : cos6A = 32cos^6A - 48cos^4A + 18cos^2A - 1.

two sets A and B are such that n(AuB) =21 and n(AnB) =7 , also n(A'nB') =9 find n(AnB)' .

There are 20 students in a chemistry class and 30 students in a physics class. find the number of students which are either in physics or in chemistry class in the following cases:

a)two classes meet at the same hour. (hint: n(C∩P) =Φ)

b)The two classes meet at different hours and 10 students are enrolled in both the courses. (hint: n(C∩P)=10)

What is an arbitrary element of a set? Explain.

In a survey of 400 students in a school ,100 were listed as taking apple juice ,150 were listed as taking orange juice and 75 were listed as taking both apple as well as orange juice .Find how many students were taking neither apple juice nor orange juice.

Verify De Morgan's law by using venn's diagram.

If A={a,b,c} , find P(A)....

a and b are two sets such that

n(a-b)=20+x

n(b-a)=3x

n(a∩b) =x+1 if n(a)= n(b)

the value of x

If x belongs to A and A belongs to B, then x Belongs to B? Determine whether true or false and explain.

answer is:-

False, Consider A = {{1},2}

clearly, 1belongs to A and A belongs to B but 1 doen't belong to B

So, x belong to A and A belongs to B need not imply that x belongs to B.

SIr Please explain and give suitable example to make me understand.show that if ais A subset B,Then C-B is subset of C-A

In a group of 800 people, 500 can speak Hindi and 320 can speak English. Find :(i) How many can speak both Hindi and English?(ii) How many can speak Hindi only?Q1if A,B,C are three sets then proove that A∩(BC)=(A∩B)(A∩C)

Q2let A,B, and C be the sets such that AUB=AUC and A∩B=A∩C show that B=C

Let A,B,and C be the sets such that AUB

= AUC and A intersection B and A intersection B = A intesection C show that

B=C

How do we prove it without using the Venn diagram?

In a beauty contest, half the number of judges voted for Miss A, 2/3 voted for Miss B, 20 voted for both and 6 did not vote for neither Miss A nor Miss B. Find how many judges , in all, were present there?

(A∪B)UC = AU(BUC)

bhak ye sab kya satta batta kar raha hai?

1. A-(B-C)=(A-B)union (A intersection C)

2.A intersection (B-C)=(A intersection B)-(A intersection C)

In a class 18 students took physics, 23 took chemistry, 24 took maths, out of them 13 took chemistry and mathematics, 12 took physics and chemistry, 11 took physics and mathmetics. if 6 were offered all the three subjects find :

1. Total number of students in class

2. How many took maths but not chemistrty

3. How many took exactly one of the three subjects

each students in a class of 40 studies atleast one of the subjects eng,math and economics. 16 study english, 22 study economics,and 26 math,5 study economics and english,14 maths and economics and 2 eng.eco and math.find the number of students who study (1.) eng and maths (2.) english,maths but not eco

What is the difference between

andbelongs to?subsetstate whether true or false? {a} belongs to { a,b,c} pls explain your answer.

THE NUMBER OF PROPER SUBSETS OF A SET OF ORDER 3 IS

in a class of 60 students,23 play hockey,15 play basketball,20 play cricket and 7 play hockey and basketball,5 play cricket and basketball,4 play hockeyand cricket,15 do not play any of the three games. find the number of students who

1- play all the three games

2-play hockey but not cricket

3-play hockey and cricket both,but not basketball

if a=log12 base24,b=log24 base36,c=log36 base48,then 1 + abc is equal to

1. Prove A intersection (A U B)' = phi

2. Prove that if A U B = C and A intersection B = phi, then C - B = A.

3. In ao town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper, 10% families buy newspaper C, 5% buy A and B, 3% buy B and C, 4% buy A and C, If 2% buy all three papers, then find the number of families which buy newspaper A only.

what is set ?

using venn diagram , show that (A-B) , (A intersect B) and (B-A) are disjoint sets , taking A={2,4,6,8,10,12} and B ={3,6,9,12,15}

Using properties of sets prove the statements given:-

(i) For all sets A and B, AU(B-A) = AUB

(ii) For all sets A and B, A-(A-B) = AintersectionB

(iii) For all sets A and B, (AUB)-B = A-B

what is an improper subset?

Please notice the complement signs. Thank you.

in a class of 25 student , 12 have taken maths,8 have taken maths but not biology.find the number of student who are taken maths and biology and the number of those who have taken biology but not maths .each student have taken either maths or biology or both?

Two finite sets have m and n elements. The total no. of subsets of the first set is 56 more than that of the total no. of subsets of the second set. Find the values of m and n.

25.Out of a group 200 students (who know atleast 1 language) 100 students know English, 80 students know Kannada, 70 students know Hindi. If 40 students know all the three languages, find the no. of students who know exactly two languages.At a certain conference of 100 people there are 29 Indian women and 23 Indian men . Out of these Indian people 4 are doctor and 24 are either men or doctors . There are no foriegn doctors. The number of women doctors attending the conference is ?