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Byju's Answer
Standard XII
Mathematics
Number of Elements in a Cartesian Product
If n P× Q =...
Question
If
n
(
P
×
Q
)
=
0
then n(P) can possibly be
A
0
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B
10
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C
20
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D
Any value
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Solution
The correct option is
D
Any value
n
(
P
)
can be of any value as we are not sure of
n
(
Q
)
Hence,
n
(
P
)
can take any of the given values.
Suggest Corrections
0
Similar questions
Q.
If
n
(
P
)
=
25
&
n
(
P
∩
Q
)
=
5
then the value of
n
(
P
−
Q
)
is
Q.
n
(
P
×
Q
)
=
200
and n(P)=100 then n(Q)=____
Q.
If two sets
P
and
Q
,
n
(
P
)
=
5
,
n
(
Q
)
=
4
then
n
(
P
×
Q
)
=
Q.
nP4=20(nP2) then find the value of n
Q.
If
P
=
{
x
∈
N
:
14
x
x
+
1
−
(
9
x
−
30
x
−
4
)
≤
0
}
,
Q
=
{
x
∈
Z
:
|
x
−
1
|
≤
5
and
|
x
−
1
|
≥
2
}
and
R
=
{
x
∈
R
:
log
6
x
+
2
log
6
x
}
=
3
,
then which of the following options is (are) CORRECT?
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