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SET REPRESENTATION BY TABULAR OR ROSTER METHOD

__SET REPRESENTATION BY TABULAR / ROSTER METHOD -__

**The roster or tabular method is a way to represent a set by explicitly listing all of its elements within curly braces { }. This method is most commonly used when the set has a finite number of elements and is relatively small. Here's how you can present a set using the roster or tabular method:**

**Roster Method Example:-**

**Suppose you want to represent a set called "A" that contains the days of the week. You can list all the days within curly braces like this:**

**A = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}**

**In this example, "A" is the name of the set, and all the days of the week are explicitly listed as its elements.**

**Tabular Method Example:-**

**The tabular method is a variation of the roster method that can be particularly useful when you need to represent sets with additional information or properties. It involves creating a table or matrix where each row represents an element of the set, and columns can be used to provide additional details about the elements.**

**For example, let's say you want to represent a set "B" that contains information about people's names and ages:**

**B = { | Name | Age | |------|-----| | Alice | 30 | | Bob | 25 | | Carol | 35 | | David | 28 | }**

**In this tabular representation, "B" is the name of the set, and each row represents an element with two properties: Name and Age. You can include as many columns as needed to describe the elements of the set fully.**

**In a tabular format, you can represent sets with multiple properties or attributes for each element. Here's an example of a set represented in a tabular format:**

__Example 1:-__ Set of Colors

** {Red, Blue, Green, Yellow, Purple}**

**In this example, the set contains the colors Red, Blue, Green, Yellow, and Purple. These elements are listed explicitly within the curly braces.**

__Example 2:-__ Set of Even Numbers Less Than 10

** {2, 4, 6, 8}**

**This set includes the even numbers 2, 4, 6, and 8, all of which are listed directly in the set.**

__Example 3:-__ Set of Days in a Week

** {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}**

**Here, the set contains the seven days of the week, each of which is listed as an element.**

__Example 4:-__ Set of Fruits

** {Apple, Banana, Orange, Mango, Grape}**

**This set represents a collection of fruits, with each fruit listed as an element of the set.**

__Example 5:-__ Set of Students with Their IDs

** | Student Name | Student ID | |-------------|-----------| | Alice | 12345 | | Bob | 23456 | | Carol | 34567 | | David | 45678 |**

**In this example, the set consists of students, and for each student, both their name and student ID are listed in a table.**

__Example 6:-__ Set of Natural Numbers Less Than 10

** {1, 2, 3, 4, 5, 6, 7, 8, 9}**

__Example 7:-__ Set of U.S. States in the West Coast

** {California, Oregon, Washington}**

**This set includes the U.S. states located on the West Coast, and the names of these states are listed as elements.**

__Example 8:-__ Set of Primary Colors

** {Red, Blue, Yellow}**

**Here, the set consists of the primary colors: Red, Blue, and Yellow, which are listed as elements of the set.**

__Example 9:-__ Set of Planets in the Solar System

** {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}**

**This set contains the planets in our solar system, and each planet's name is explicitly listed within the set.**

**The roster or tabular method is a straightforward way to represent sets with a finite number of elements or elements that can be easily enumerated. It provides a clear and complete list of all the elements in the set.**