Subsets, Proper Subsets & Supersets

# Subsets, Proper Subsets & Supersets Video Lecture | Mathematics (Maths) Class 11 - Commerce

## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests

## FAQs on Subsets, Proper Subsets & Supersets Video Lecture - Mathematics (Maths) Class 11 - Commerce

 1. What are subsets and proper subsets?
Ans. A subset is a set that contains elements of another set. It can include all the elements of the original set or only some of them. A proper subset is a subset that does not include all the elements of the original set.
 2. How can I determine if one set is a subset of another?
Ans. To determine if one set is a subset of another, you need to check if all the elements of the first set are also present in the second set. If they are, then the first set is a subset of the second set.
 3. What is the difference between a subset and a superset?
Ans. A subset is a set that contains elements of another set, while a superset is a set that includes all the elements of another set. In other words, a subset is a smaller set within a larger set, and a superset is a larger set that contains the subset.
 4. Can a set be both a subset and a proper subset at the same time?
Ans. No, a set cannot be both a subset and a proper subset at the same time. If a set A is a proper subset of set B, it means that A is a subset of B but not equal to B. Therefore, a proper subset cannot be equal to its superset.
 5. How many subsets can a set with n elements have?
Ans. A set with n elements can have 2^n subsets, including the empty set and the set itself. This includes all possible combinations of elements in the set, ranging from subsets with no elements to the full set itself.

## Mathematics (Maths) Class 11

75 videos|238 docs|91 tests

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