1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
For two sets ...
Question
For two sets
A
=
{
1
,
2
,
3
}
&
B
=
{
a
,
b
,
c
}
,
select the correct statements.
Open in App
Solution
Given:
A
=
{
1
,
2
,
3
}
&
B
=
{
a
,
b
,
c
}
Thus,
A
×
B
=
{
(
1
,
a
)
,
(
1
,
b
)
,
(
1
,
c
)
,
(
2
,
a
)
,
(
2
,
b
)
,
(
2
,
c
)
,
(
3
,
a
)
,
(
3
,
b
)
,
(
3
,
c
)
}
And, similarly:
B
×
A
=
{
(
a
,
1
)
,
(
a
,
2
)
,
(
a
,
3
)
,
(
b
,
1
)
,
(
b
,
2
)
,
(
b
,
3
)
,
(
c
,
1
)
,
(
c
,
2
)
,
(
c
,
3
)
,
}
Since,
A
≠
B
⇒
A
×
B
≠
B
×
A
Also,
n
(
A
×
B
)
=
n
(
B
×
A
)
Suggest Corrections
0
Similar questions
Q.
Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either
A
⊆
B
or
B
⊆
A
;
(ii) Every subset of an infinite set is infinite;
(iii) Every subset of a finite set is finite;
(iv) Every set has a proper subset;
(v) {a, b, a, b, a, b, ...} is an infinite set;
(vi) {a, b, c} and {1, 2, 3} are equivalent sets;
(vii) A set can have infinitely many subsets.
Q.
For any three sets given as:
A
=
{
1
,
2
,
3
}
;
B
=
{
4
,
5
,
6
}
&
C
=
{
6
,
7
,
8
}
.
Select the correct statements.
Q.
Given two sets
A
=
{
a
,
b
,
c
}
&
B
=
{
1
,
2
,
3
}
.
If
R
=
{
(
a
,
2
)
,
(
a
,
3
)
,
(
b
,
1
)
,
(
c
,
3
)
,
(
b
,
2
)
}
&
S
=
{
(
a
,
3
)
,
(
b
,
1
)
,
(
c
,
2
)
,
(
2
,
a
)
}
.
Then select the correct statement.
Q.
For any sets
A
&
B
,
select the correct statements.
Q.
Two sets given such that
A
=
{
a
:
a
is a prime number
<
25
}
&
B
=
{
b
:
b
∈
N
,
10
≤
b
≤
18
}
,
the select the correct statements.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Watch in App
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app