English

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)

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)

Sum
Advertisements

Solution

n(X) = 50, n(A) = 35, n(B) = 20, n(A' ∩ B') = 5

n(A' ∩ B) = n(B) – n(A ∩ B)

= 20 – 10

= 10

shaalaa.com
Classification of Sets
  Is there an error in this question or solution?
Chapter 1: Sets and Relations - Exercise 1.1 [Page 10]

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)' = 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 ∆ 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(A ∪ B) = n(A) + n(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 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')


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


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 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 – B


Select the correct answer from given alternative.

If set A is empty set then n[P [P [P (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


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'


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×