Advertisements
Advertisements
प्रश्न
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)
उत्तर
n(X) = 50, n(A) = 35, n(B) = 20, n(A' ∩ B') = 5
n (A ∩ B) = n(A) + n(B) – n(A ∪ B)
= 35 + 20 – 45
= 10
APPEARS IN
संबंधित प्रश्न
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 = {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:
A = (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:
n(B) = (A' ∩ B) + n(A ∩ B)
Write down the power set of A = {1,2,3}
Solve the following inequality and write the solution set using interval notation
− 9 < 2x + 7 ≤ 19
Solve the following inequality and write the solution set using interval notation
x2 − x > 20
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find B ∪ C
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 B ∩ C
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
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find B' ∩ C'
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 B ∩ C'
