The number of subsets of a set containing n elements is _____.

For any two sets A and B, \(A\cap(A\cup B)=\)_____.

If \(A\cap B=B\) then _____.

For any two sets A and B, (A - B) \(\cup\) (B - A)=_____.

For any two sets A and B, A \(\cup\) B = A iff _____.

In a group of 400 people, 250 can speak Hindi and 200 can speak English.How many can speak both Hindi and English?

Let n(U) = 700, n(A) = 200, n(B) = 300 and \(n(A\cap B)\) = 100 .Find \(n({ A }^{ ' }\cap { B }^{ ' })\).

Let F₁ be the set of parallelograms, F₂ be the set of rectangles, F₃ be the set of rhombus and F₄ be the set of squares. Then, show that F₁ is equal to the union of all sets.

If n(A\(\cup \)B)=25, n(A)=12, n(A-B)=8, then write the number of elements in A\(\cap \)B and B-A

If U={a,b,c,d,e,f}, A={a,b,c}, B={c,d,e,f}, C={c,d,e}, D={d,e,f}, then tabulate the following set A\(\cap \)D

Which of the following are sets? Justify your answer:
The collection of all the months of a year having 31 days

Which of the following are sets? Justify your answer:
The collection of all divisors of 30.

Which of the following are sets? Justify your answer:
The collection of beautiful girls in India.

Which of the following are sets? Justify your answer:
The collection of all odd integers.

Which of the following sets are finite and which are infinite?
Set of concentric circles in a plane.

Which of the following are sets? Justify your answer.
The collection of all the months of a year beginning with the letter J.

Which of the following sets are finite and which are infinite?
(i) \(\{x \in R: 0

Which of the following sets are finite or infinite?
(i) {x: x ∈ N and x is a prime number}
(ii) {x: x is a letter in the word CALCUTTA}
(iii) {x: x is a set of rational numbers between 1 and 2}
(iv) The set of natural numbers greater than 50.
(v) {x: x is a prime divisor of 30}

Draw the Venn diagram of the following:
A' \(\cap\) (B \(\cup\) C)

Draw the Venn diagram of the following:
A' \(\cap\) (C - B)