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If \(\left A \right = 3,\left B \right = 3\), then A and B is related to
, since , then A is similar to B.
If \(A \subseteq B\), then \(A\Delta B\) is equal to
In a survey of 30 people, 12 eat apple, 16 eat orange and 18 eat mango. If all the 30 people take at least one subject and no one take all three, them the number of people eat 2 type of fruits is
Let x people take apple, y people take orange and z people take mango.
If \(A = \left\{ {x:x = 3m,m \in N} \right\}\)and \(B = \left\{ {x:x = \frac{{n + 1}}{2}.n \in N} \right\}\), then how A and B is related?
The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects?
Let x represents mathematics and y represents chemistry.
Number of students getting at least one subject.
If A and B be any sets, then \(\left( {A – {B^c}} \right) – {A^c}\)is equal to
A and B be any sets,
The number of people who eat rice and roti is 30. This represents 10% people who eat rice and this represents 6% people who eat rice or roti. Then find the people who eat roti?
Let A, B for rice and roti respectively.
Therefore, 230 people eat roti.
If \(\left A \right = m\)and\(\left B \right = n,\left {A \cap B} \right = 3\), then \(\left {A \cup B} \right\)is equal to_____, where \(\left {P\left( A \right)} \right\)is 224 greater than \(\left {P\left( B \right)} \right\). Fill in the blanks.
If \(A = \left\{ {x:2 \le x \prec 7,x \in N} \right\}\)and \(B = \left\{ {x:x \in N,4 \le x \prec 10} \right\}\), where \(U = \left\{ {x:x \in N,1 \prec x \le 12} \right\}\), then \(A \cap {B^c}\)is equal to
If \(A = \left\{ {4,6,8,9} \right\},B = \left\{ {8,7,3,4,9} \right\}\), then \(\left {P\left( {A\Delta B} \right)} \right\)is equal to
In a village of 3000 people, 10% people have cars, bikes and cycles. 25% people have cars, 35% people have bikes and 40% people have cycles, then how many people have at least two vehicles?
Total number of people who have cars
Total number of people who have bikes
Total number of people who have cycles
If \(\left A \right = {2^m}\)and \(\left B \right = {2^n}\), then \(\left {A \times B} \right\)is equal to
If \(\left A \right = {5^m}\)and \(\left B \right = {3^m}\), then \(\left {A \times B} \right\)is equal to
If A={x:x is a day in a week} and B={x:x is a month in a year}, then \(A \cap B\)is equal to
is a day in a week}
={Sunday, Monday,…, Saturday}
is a month in a year}
={January, February,…, December}
If \(\left A \right = m,\left B \right = n\)and \(\left {A \cup B} \right = 9\)where \(\left {P\left( A \right)} \right\)is 56 greater than \(\left {P\left( B \right)} \right\), then find \(\left {A \cap B} \right\)?
If \(\left A \right = {m^n}\)and \(\left B \right = {n^n}\), then \(\left {A \times B} \right\)is equal to
, then
If \(A = \left\{ {x:x = 2n + 1,n \in N} \right\}\)and \(B = \left\{ {x:x = 2n – 1,n \in N} \right\}\), then \(A \cup B\)is equal to
is an odd natural number}
If \(\left A \right = 12,\left B \right = 9,\left {A \cup B} \right = 19\), then \(\left {A\Delta B} \right\)is equal to
\(\left( {A – {B^c}} \right) – {\left( {B – {A^c}} \right)^c}\)is equal to
If A is nonempty set and B is any set, \(A \cup B = A\)and \(A \cap B = \emptyset \), then \(\left B \right\)is equal to
A is nonempty set.
Let ,
Hence,.