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what is set - builder form and roster form

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

OUT OF 60 STUDENTS 25 FAILED IN PAPER-I, 24 IN PAPER-II, 32 IN PAPER-III, 9 IN PAPER-I ALONE, 6 IN PAPER-II ALONE,5 IN PAPER-II AND PAPER-III, 3 IN PAPER-I AND PAPER-II, THEN HOW MANY FAILED IN ALL PAPERS, HOW MANY PASSED IN ALL PAPERS

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

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

prove A-B = A intersection B complement

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

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 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

A) 15(2)^1/2 N

B) 10 N

C) 25(2)^1/2 N

D) 5(2)^1/2 N

Correct answer is d plz solve in detail how this answer is came

Draw Venn diagrams of :-

1. A-(BUC)

2.AU(B∩C)

let A= {1,2,3,4}, B={1,2,3}, C={2,4}. Find all sets X satisfying each pair of conditions:

i) X ⊂ B and X ⊄ C ii) X⊂ B, X ≠ B and X ⊄ C iii)X ⊂ A, X⊂ B and X ⊂ C

plzzzz answer this question and explain further to... thanks! :)

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 ?

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}

prove that :

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

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

## The number of subset S of {1,2,3,…10} with the property: "There exist integers a<b<c with a ∈ S, b ∉ S, c ∈ S" is?

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.

23 medals are awarded for Folk songs, 8 for Deuda songs & 11 for Maithili songs. If the total number of singers awarded is 32 and only 3 singers received the medals in all 3 types of songs, find how many singers received medals in exactly two if three types of songs?

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.....

sir can you prove the de morgan's law using venn diagram?

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 had7. 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?

A and B are two finite sets such that n(A)=m1 and n(A)=m2, then find the least and greatest values of n(AUB).

## Best books for cbse class 11 commerce students?

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????????????

_{n}: n belongs N, a_{n+1 }=3a_{n }and a_{1}= 2}describe the above in roster form

wat are d uses of sets in our daily life?

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.

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?

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)

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

Hi

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

Asked if you will cast your vote for a party the following feed back is obtained

ADULT MALE YES=10 NO=20 DONT KNOW=5

ADULT FEMALE YES=20 NO=15 DONT KNOW=5

YOUTHOVER18YEAR YES=10 NO=5 DONT KNOW=10

if A= adult male , C= common set of youth and women Y=set of positive opinion

N = set of negative opinion

then n(A1)=?

n(AandC)=?

n(Y U N)1 =?

n[ A and (Y and N )1]=?

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)

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.

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

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

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

What is an arbitrary element of a set? Explain.

show that if ais A subset B,Then C-B is subset of C-A

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?

bhak ye sab kya satta batta kar raha hai?

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?

there are 40 students in chemistry class and 60 students in physics .find the number of students which are either in physics or chemistry class in the following cases :

1. two classes meet at the same hour

2. two classes meet at the different hour and 20 students are enrolled in both subjects

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

What is the difference between

andbelongs to?subsetIf n(U)=360, n(A)=240, n(B)=160, find the maximum value of n(A union B ) and minimum value of n(A intersection B) . When will be the value of n(A intersection B) be maximum and find its value

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

let A, B, C be three sets. If A belongs to B and B is the subset of C, is it true that A is the subset of C? if not give an example.

what is set ?

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 ?

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

Let x be the universal set for sets A and B. If n(a)=200 and n(B)=300 and n(A intersection B)=100, then n(A' intersection B') is equal to 300 provided n(x) is equal to

(B) 700

(C) 800

(D) 900

what is an improper subset?

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.

in a survey of 60 people,it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H & I, 11 read both H & T, 8 read both T & I, 3 read all three newspaper. find the number of people who read exactly one news paper

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?

Every set has a proper subset...........is it true? give reason

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 ?