Which of the following are sets?
The Collection of rich people in India

Which of the following are sets?
The Collection of good Hockey players.

Represent the following sets in set builder form.
B = The set of all Cricket players in India who scored double centuries in One Day Internationals.

Find the cardinal number of the following sets.
S = The set of all leap years between 1882 and 1906.

Using the given Venn diagram, write the elements of A

Using the given Venn diagram, write the elements of A∩B

Let U = {0, 1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following sets (A∩B)′

Using the set symbols, write down the expressions for the shaded region in the following.

Let A and B be two overlapping sets and the universal set be U. Draw appropriate Venn diagram for each of the following,
(i) AUB
(ii) A∩B
(iii) (A∩B)′
(iv) (B–A)'
(v) A′UB′
(vi) A′∩B′
(vii) What do you observe from the Venn diagram (iii) and (v)?

If A = {0, 2, 4, 6, 8}, B = {x : x is a prime number and x < 11} and C = {x : x ∈ N and 5 ≤ x < 9} then verify \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\).