We have to use Powerset .All of the elements are subsets of the set.
- If n(A)=n
#1
- {a,b,c}
- It has 2^3=8subsets
Now
P(A)={{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c}}
#2
- {2,4,6,8}
- It has 2^4=16 subsets
Now
P(A)={{2},{4},{6},{8},{2,4},{2,8},{2,8},{4,8},{4,6},{6,8},{2,4,6},{2,4,8},{2,6,8},{4,6,8},{2,4,6,8}}
#3
It has 2^5=32 subsets
Now
P(A)={{1},{2},{3},{4},{5},{1,2},{1,3},{1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5},{1,2,3},{1,2,4},{1,2,5}...{1,2,3,4,5}}