1. Problems: Sets Flashcards
1
Q
Ø ∈ {Ø}?
A
True
2
Q
Ø ∈ Ø?
A
False
a set CANNOT be an element of a set
3
Q
Ø ⊆ {5}?
A
True
4
Q
{2} ⊆ {{2}}?
A
False
{2} is an element of {{2}}, not a subset
5
Q
{2} ∈ {{2}}?
A
True
6
Q
{3, {3}} ≠ {3}?
A
True
7
Q
{1}={1,1,1}?
A
True, duplicates get counted as the same element
8
Q
{1,2}={2,1}?
A
True, order doesn’t matter
9
Q
{5,4,4,3,5}={3,4,5}?
A
True
10
Q
{3,3,4} ⊆ {3,4}?
A
True
11
Q
If B = Ø , then |B| = ?
A
0
empty sets have 0 elements
12
Q
|A| = n, | P(A) | = ?
A
2^n
the power set contains all subsets of the given set
