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Higher Study | Mathematics | Sets

Which of the following is an empty set?
Which of the following is definitely true?
Let A be a set having 'p' elements and B be the set having 'q' elements, the number of relations from A to B is
If A ⊂ B, then A̅ ∩ B̅ = ?
Let P and Q be two distinct non-empty sets. Then  (P ∪ Q)c  ∪ (Pc ∩ Q) equals
If A ∩ B = A then find the value of A ∪ B.
If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then,
A = {a, b, c, d}, B = {d, f, g, h}. Find the cardinality of (A ∪ B)
If A ∩ B = A then A ∪ B is equal to ?
If A and B are two sets then A ∩ (B ∪ A)c is equal to
If A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}. Find (A ∩ B) ∪ (A ∩ C) ?
If A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}. Find (A ∪ B) ∩ (A ∪ C) ?
In the figure given below, the shaded region is:
Let S be any non-empty set and P(s) be its power set. We define a relation R on P(s) by A R B to mean A ⊆ B i.e. R = {(A,B) : A ⊆ B} then R is
In a city, there are 3 major newspapers A, B and C of which at least two are read by 35% of population. A and B are read by 15%. C is read by 45% and that all the three are read by 10%. Then the percentage of people who read the newspaper C alone is
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