Sizes of
disjoint subsets of a universal set. Assume that A and B are disjoint subsets of U, and that n(U)=95, n(A)=30,and n(B')=61.
Find n(A�¿B').
To find the size of the disjoint subset A�¿B', we need to use the concept of set operations and the given information.
Given information:
- n(U) = 95 (size of the universal set)
- n(A) = 30 (size of subset A)
- n(B') = 61 (size of the complement of subset B)
First, let's define the sets A, B, and B':
A: Subset of U, n(A) = 30
B: Subset of U, disjoint with A
B': Complement of B in U, n(B') = 61
To find the size of the disjoint subset A�¿B', we can use the properties of set operations:
A�¿B' = A - (A∩B)
Since A and B are disjoint subsets, their intersection (A∩B) would be an empty set (∅). Therefore, A�¿B' is equal to A itself.
So, n(A�¿B') = n(A)
Given that n(A) = 30, we can conclude that n(A�¿B') = 30.