Scribd
Upload
18 views2 pages

Bjective: XI Mathematics 09/09/2020

The document outlines an objective to find the number of subsets of a set and verify that a set with n elements has 2^n subsets. It describes a method of construction using sets with increasing numbers of elements and provides a demonstration of the subsets for each set. The activity is intended for calculating the number of subsets of a given set.

Uploaded by

sagniksarkar1999
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
18 views2 pages

Bjective: XI Mathematics 09/09/2020

The document outlines an objective to find the number of subsets of a set and verify that a set with n elements has 2^n subsets. It describes a method of construction using sets with increasing numbers of elements and provides a demonstration of the subsets for each set. The activity is intended for calculating the number of subsets of a given set.

Uploaded by

sagniksarkar1999
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 2

Class: XI Subject: Mathematics Date: 09/09/2020

OBJECTIVE
To find the number of subsets of a given set and verify that if a set
has n number of elements, then the total number of subsets is 2n.

MATERIAL REQUIRED
Paper, Different coloured pencils.

METHOD OF CONSTRUCTION
1. Take the empty set (say) A0 which has no element.
2. Take a set (say) A1 which has one element (say) a1.
3. Take a set (say) A2 which has two elements (say) a1 and a2.
4. Take a set (say) A3 which has three elements (say) a1, a2 and a3.

DEMONSTRATION
1. Represent the set A0 as in Fig.1.
Here, the possible subsets of A0 is A0 itself only, represented
symbolically by .
The number of subsets of A0 is .
2. Represent the set A1 as in Fig. 2.
Here, the subsets of A1 are , {a1}.
The number of subsets of A1 is

3. Represent the set A2 as in Fig. 3.


Here the subsets of A2 are , {a1}, {a2}, {a1, a2}.
The number of subsets of A2 is .

4. Represent the set A3 as in Fig. 4


Here the subsets of A3 are , {a1}, {a2}, {a3), {a1, a2}, {a2, a3),
{a3, a1) and {a1, a2, a3}.
The number of subsets of A3 is

Continuing this way, the number of subsets of set A containing


n elements , , ,…, is 2n.
Class: XI Subject: Mathematics Date: 09/09/2020
OBSERVATION
1. The number of subsets of A0 is
2. The number of subsets of A1 is
3. The number of subsets of A2 is
4. The number of subsets of A3 is
……………………………………
……………………………………
5. The number of subsets of An is
APPLICATION
The activity can be used for calculating the number of subsets of a
given set.

You might also like