Question

My question is - Explain sets and it's Types . Also give some important formula of sets class 11 Chapter plss

Answer 1

Heya !
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★Sets★
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→ What is a set ?
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=> A set is a collection of well defined and different objects . Here we need to remember two basic words .

• Well defined - it signifies that there must be a rule given according to which we can identify if a particular element belongs to a set or not.

• Different - it signifies that repetition isn't allowed in a set .

=> A set is denoted by a capital letter in curly brackets . For Example ,

A = { 1 , 2 , 3 }

→ Ways of Representing a Set :
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1. Roaster Method - in this we simply mention the elements .

Ex. A = { 1 , 2 , 3 , 4 }

2. Set Builder Method - in this we specify some rule / condition to make the set .

Ex. A = { x : 0< x < 5 }

→Types of Set
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•Void / Empty Set : has no elements.

•Singleton Set : has only a single element .

•Finite Set : has a Finite number of elements .

•Infinite Set : has infinite elements.

→Some Basic Formulas :
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1. A U B = N ( A ) + N ( B ) + N ( A n B )

2. A U B = N ( A ) + N ( B ) [ for disjoint sets ]

3. A U B U C = N( A ) + N( B ) + N ( C ) - N ( A n B ) - N ( B n C ) - N ( C n A ) + N ( A n B n C )

[ Note : here U means the Union and n means the intersection of a set . ]

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Answer 2

Set is a collection of objects that are arranged in a order according to some rule .

Example is A = { a , e , i , o , u }

WE always represent it whit a capital letter .


There are types of sets : single , empty , finite and infinite.

Sets can be written in roaster.or set builder method !