Sets Operations

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, then find the number of elements in (A ∪ B) - (A ∩ B...

If n(A) = 15, n(B) = 20, and n(A ∪ B) = 30, what is the value of n(A ∩ B)?

If A and B are two sets such that A ⊂ B, which of the following is always true?

For sets A, B, and C, if A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C), which law does this represent?

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6},...

In a class of 50 students, 30 like Mathematics, 25 like Physics, and 10 like both subjects. How many...

If A = {x : x² - 5x + 6 = 0} and B = {x : x² - 3x + 2 = 0}, then A ∩ B equals

If A ∩ B = A ∩ C and A ∪ B = A ∪ C, which of the following must be true?

In a survey of 100 people, 60 like tea, 50 like coffee, 30 like juice, 20 like tea and coffee, 15 li...

The number of proper subsets of a set containing n elements is

If A × B = {(1,2), (1,3), (2,2), (2,3)}, then which of the following is correct?

If A and B are two sets such that n(A × B) = 24 and A = {1, 2, 3}, then the number of elements in se...