Question

Is it possible to have 2 sets A & B such that set A has 32 elements &

set B has 42 elements, set (A∩ ) has 12 elements and set (A ∪ B)

has 64 elements.? Justify your answer with proper reasons.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

1. If A and B are sets, then A ∩ B, read “A intersection B”, is a new set. Its elements are those objects which are in A and in B i.e. those elements which are in both sets. Example If A = {1,2,3,4} and B = {2,4,6,8}, list the elements of the set A ∩ B.
2. Number of Elements in Power Set –
4. As each element has two possibilities (present or absent}, possible subsets are 2×2×2.. n times = 2^n. Therefore, power set contains 2^n elements.