what is set - builder form and roster form

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

What is an arbitrary element of a set? Explain.

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)

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

If U is the set of all digits in our decimal system ,A={x:x is prime} B={x:x^2 <25}

find (AUB)'

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 ?

Write in set builder form.

B= {23,29,31,37,41,43,47}

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 ?

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)

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.

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.

 what is the formula for n(AUBUCUD) /

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)

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?

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)

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

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

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

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.

plz explain in very a easy step.....

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

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?

a commitee prepared a list of twenty players each in test, ODI, t20 cricket tournaments, out of 39 players. three players are there who r in test and ODI list but not in T20. four players are there who r in test and T20 list but not in ODI and same number of players are there who r in all the three lists.

1. how many players are there who r exactly in one list?
2. how many players sre there who r exactly in two lists?
3. how many players are there who r in atleast two lists?
4. how many players are there who r in atmost two lists?
5. how many players are there who r in ODI and T20 list but not in test lists?

Best books for cbse class 11 commerce students?

suppose A₁, A₂,....,A₃₀ are 30 sets each with 5 elements and B₁, B₂,...., B_n are n sets each with 3 elements. let union ofA₁, A₂,....,A₃₀ = union ofB₁, B₂,...., B_n =S. Each element of S belongs to 10 of A's and 9 of B's. find n.

WHAT DOES IT MEAN????????????

wat are d uses of sets in our daily life?

WHAT IS TRIVIAL AND NON.TRIVIAL SUBSET ??

 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.

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

Hi

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

if A intersection B dash is equal to null set, then show that A is equal to A intersection B, and hence show that A is a subset of B. please help.

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

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

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

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

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

In a group of 84 persons each plays at least one game out of three viz.tennis, badmnton and cricket.28 of them play cricket,40 play tennis and 48 play badminton.If 6 play cricket and badminton and 4 play tennis and badminton and no one plays all the three games .Find the number of persons who play cricket but not tennis.

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

If A and B are 2 sets then represent (A-B)complement using a 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?

 bhak ye sab kya satta batta kar raha hai?

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 belongs to and subset?

 Q. In an examination, question 1 was attempeted by 67 students, question number 2 by 46 students and question number 3 by 40 students. 28 students attempted both questions number 1 and 2, 8 attempted both question numbers 2 and 3. 26 attempted both question numbers 1 and 3 and 2 students attempted all the three questions. Find how many attempted question number 1 but not 2 and 3 ?

• Prove some fundamentals laws of algebra of sets :

1. A U A=A
2. A intersection A=A
3. Identity laws for any set A
4. Commutative laws for any sets A & B
5. Associative laws, A,B&C sets
6. DISTRIBUTIVE LAWS, A,B&C SETS
7. DE MORGANS LAW, for any sets A & B

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

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

what is set ?

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?

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.