In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets
Original Khojo Papers practice question — not from a past board paper.
The complement of a union is the intersection of the complements, (A ∪ B)′ = A′ ∩ B′; and the complement of an intersection is the union of the complements, (A ∩ B)′ = A′ ∪ B′.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
They are easily seen to be true from a Venn diagram.
From the same topic and chapter, at a similar level.
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find A ∪ B, A ∩ B and A − B.
Sets
Define the power set and write the power set of A = {1, 2}.
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In a survey of 100 students, 60 read newspaper A, 50 read newspaper B and 30 read both. How many read at least one, and how many read neither?
Sets
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).
Sets