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For set S = {b,c,f}, show:
Elements, cardinality, and power set
Elements = set objects
Use the ∈ symbol.
Cardinality = Number of set elements.
Since the set S contains 3 elements
|S| = 3
Power set = Set of all subsets of S
including S and ∅.
S contains 3 terms
Power Set contains 23 = 8 items
The subset A of a set B is
A set where all elements of A are in B.
# | Binary | Use if 1 | Subset |
---|---|---|---|
0 | 000 | {} | |
1 | 001 | {f} | |
2 | 010 | {c} | |
3 | 011 | {c,f} | |
4 | 100 | b, | {b} |
5 | 101 | b, | {b,f} |
6 | 110 | b,c, | {b,c} |
7 | 111 | b,c,f | {b,c,f} |
{c,f},{b}
{b,f},
{b,c},
{{b},{c},{f})