Same chapter3 marksDifficulty: Medium
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets
3 marksDifficulty: Medium
Define the power set and write the power set of A = {1, 2}.
Original Khojo Papers practice question — not from a past board paper.
Answer
The power set of a set is the set of all its subsets. P(A) = {∅, {1}, {2}, {1, 2}}.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
It has 22 = 4 elements, and the empty set and A itself are always members.
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How many subsets does a set with 5 elements have, and how many of them are proper subsets?
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If n(A) = 20, n(B) = 28 and n(A ∩ B) = 8, find n(A ∪ B).
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