- #1
lipun4u
- 7
- 0
Let 's Consider a set A where A={1,2,3}
Can anyone tell me
1>no of subsets of A
2>no of proper subsets of A
Regards,
Asit
Can anyone tell me
1>no of subsets of A
2>no of proper subsets of A
Regards,
Asit
lipun4u said:Let 's Consider a set A where A={1,2,3}
Can anyone tell me
1>no of subsets of A
2>no of proper subsets of A
Regards,
Asit
lipun4u said:i know the asnwer
if A has three elements, proper subset of A will be 7
becoz all the subsets will be Null,{1},{2},{3},{1,2},{2,3},{1,3}
subsets of A will be 8 BY INCLUDING {1,2,3}
I asked it, becoz i m not sure ab it.
Am i correct ab it ??
ice109 said:the formula for the cardinality of the powerset is 2^(cardinality of the set) hence the number is 8 not 7
A subset is a set that contains all the elements of another set, while a proper subset is a subset that contains some, but not all, of the elements of another set.
To determine if one set is a subset of another set, you can check if all the elements of the first set are also present in the second set.
The empty set is considered a subset of every set, but not a proper subset of any set.
A set can have an infinite number of proper subsets, as long as it has at least two elements.
No, a set cannot be its own proper subset because a proper subset must have at least one element that is not present in the original set.