Advertisements
Advertisements
Question
If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A' ∩ B') = 5, find: n(A ∩ B')
Solution
n(X) = 50, n(A) = 35, n(B) = 20, n(A' ∩ B') = 5
n(A ∩ B') = n(A) – n(A ∩ B)
= 35 – 10
= 25
APPEARS IN
RELATED QUESTIONS
If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩B') = 5, find: n(A ∩ B)
If A, B, C are the sets for the letters in the words 'college', 'marriage' and 'luggage' respective, then verify that [A – (B ∪ C)] = [(A – B) ∩ (A – C)]
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following:
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following:
(A ∩ B)' = A' ∪ B'
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following:
B = (A ∩ B) ∪ (A' ∩ B)
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following:
(A ∪ B) = (A − B) ∪ (A ∩ B) ∪ (B − A)
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following:
A ∩ (B ∆ C) = (A ∩ B) ∆ (A ∩ C)
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following:
n(B) = (A' ∩ B) + n(A ∩ B)
If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5, find n(A ∩ B)
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find A ∪ B
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find A ∪ C
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find A ∩ B
For the set A = {a, b, c, d, e}, the correct statement is ______.
Select the correct answer from given alternative.
If aN = {ax : x ∈ N}, then set 6N ∩ 8N =
Select the correct answer from given alternative.
If the two sets A and B are having 43 elements in common, then the number of elements common to each of the sets A × B and B × A is
Answer the following:
If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set A ∪ B
Answer the following:
If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set A ∩ (B ∪ C)
