How many subsets does a set with 5 elements have, and how many of them are proper subsets?
Sets
Original Khojo Papers practice question — not from a past board paper.
A finite set has a definite number of elements and an infinite set does not. An empty set has no element at all and is written ∅ or { }, while a singleton set has exactly one element.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
The set {∅} is a singleton, not an empty set, because it contains one element.
From the same topic and chapter, at a similar level.
How many subsets does a set with 5 elements have, and how many of them are proper subsets?
Sets
If n(A) = 20, n(B) = 28 and n(A ∩ B) = 8, find n(A ∪ B).
Sets
Define the power set and write the power set of A = {1, 2}.
Sets
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find A ∪ B, A ∩ B and A − B.
Sets
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets
State De Morgan's laws for sets.
Sets