Solved Problems on Subsets
Problem 1: How many subsets in a set with 4 elements?
Solution:
A set containing 4 elements will have 24 elements in it = 16.
Problem 2: How many subsets in a set with 5 elements?
Solution:
A set containing 5 elements will have 25 elements in it = 32.
Subsets in Maths
Subsets in maths are a core concept in the study of Set Theory, similar to Sets. A group of elements, objects, or members enclosed in curly braces, such as {x, y, z} is called a Set, where each member of the set is unique. So for a set of {x, y, z} the possible subsets are {}, {x}, {y}, {z}, {x, y}, {y, z}, {z, x} or {x, y, z}. While defining a set its elements could be real numbers, constants, variables, or any other objects as well.
This article explores the concept of Subsets in detail and makes it easy to grasp for all the readers of the article without any regard to their academic level. All subtopics such as their meaning, definition, symbol, example, and many many more, are covered in the article with plenty of examples. So, let’s start our journey to the land of set theory and understand this concept of Subsets.
In this article, we have provided detailed information about what are subsets in maths, supersets in maths, proper subset, and improper subset with examples and FAQs.
Table of Content
- What are Subsets in Maths?
- Example of Subsets
- Power Set of a Set
- Types of Subsets
- Proper Subset
- Improper Subset
- Proper and Improper Subsets
- Subsets vs Supersets