Advertisements
Advertisements
प्रश्न
Write down the power set of A = {1,2,3}
उत्तर
A = {1, 2, 3}
The power set of A is given by
P(A) = {`phi`, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}}
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 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 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 ∪ 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 ∩ 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 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 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 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')
Solve the following inequality and write the solution set using interval notation
x2 − x > 20
Solve the following inequality and write the solution set using interval notation
`(2x)/(x - 4) ≤ 5`
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
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 B' ∩ C'
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find B – C
For the set A = {a, b, c, d, e}, the correct statement is ______.
Select the correct answer from given alternative.
If set A is empty set then n[P [P [P (A)]]] is
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
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)
Answer the following:
If A = {−1, 1} , find A × A × A
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Then ______.