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what is set - builder form and roster form

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

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

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

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

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

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 ?

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

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 ?

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.

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.

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

what is the formula for n(AUBUCUD) /

which of the following sets are disjoint :

A={2,1,4}

B= {-1,5,1}

C= {1,9}

D={ x: x is an odd natural number greater than 3}

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 ?

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

find (AUB)'

Draw Venn diagrams of :-

1. A-(BUC)

2.AU(B∩C)

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)

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)

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

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.

Q.25. A survey was conducted of the T.V programmes watched by 120 students of a school hostel revealed that 70 students watched 'Discovery channel' and 56 students watched 'sports channel' where as 24 watched both the programmes. Find the number of students who did not watch T.V on that day.

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.....

if A=( 2x:x belongs to N}, B = { 3x; x belongs to N}, C={ 5x: x belongs to N}, then find ( A intersection B) intersection C.

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 hadQ. Let U=(xEN/x<=9) ; A=(x:x is an even number, 0<x<10) ; B=(2,3,5,7). Verify that (AUB)'=A' intersection B'.

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

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.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?

## Best books for cbse class 11 commerce students?

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?

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

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

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.

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.

prove that if A U B=C and A INTERSECTION B={ } THEN A=C-B

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

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

{x : x = 3p, p belongs to W, p lesser and equal to 3}

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

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 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

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 ?

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

write{0,3,8,15,24,35,....}in set builder form

How do we prove it without using the Venn diagram?

how 2 write A = { 2,6,12,20,30} IN SET BUILDER FORM

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

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! :)

What is the difference between

andbelongs to?subsetFrom amongst the 6000 literate individuals of a city, 50% read newspaper A, 45% read newspaper B and 25% read neither A nor B. How many individuals read both newspaper A as well as B?

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

i) number of boys who play at least one of the games.

ii) number of boys who none of the games.

iii) number of boys who play football but not cricket.

iv) number of boys playing only hockey.

v) number of boys playing cricket but not hockey.

what is set ?

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

what is an improper subset?

A-B=A delta (A intersection B)

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.

let U be the universal set containing 700 elements if A and B are subsets of u such thatsuch that number of A=200 numer of B=300 and n(AnB)=100 n(A'nB')=____________

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 ?

WHAT IS TRIVIAL AND NON.TRIVIAL SUBSET ??