Check sibling questions

Let us take set A = {2, 3}

A × A × A = {2, 3} × {2, 3} × {2, 3}

   

Element

1 st element

{ 2 , 3} × { 2 , 3} × { 2 , 3}

(2, 2, 2)

2 nd element

{ 2 , 3} × { 2 , 3} × {2, 3 }

(2, 2, 3)

3 rd element

{ 2 , 3} × {2, 3 } × { 2 , 3}

(2, 3, 2)

4 th element

{ 2 , 3} × {2, 3 } × {2, 3 }

(2, 3, 3)

5 th element

{2, 3 } × { 2 , 3} × { 2 , 3}

(3, 2, 2)

6 th element

{2, 3 } × { 2 , 3} × {2, 3 }

(3, 2, 3)

7 th element

{2, 3 } × {2, 3 } × { 2 , 3}

(3, 3, 2)

8 th element

{2, 3 } × {2, 3 } × {2, 3 }

(3, 3, 3)

∴ A × A × A = {(2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 2, 2), (3, 2, 3), (3, 3, 2), (3, 3, 3)}

 

Note:

A × A × A = {(a,  b,  c) :  a,  b,  c ∈ A}.

Here (a,  b,  c) is called an  ordered triplet

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.