Byju's Answer
Standard XII
Mathematics
Number of Elements in a Cartesian Product
Given two set...
Question
Given two sets
A
=
{
a
,
b
,
c
,
d
}
,
B
=
{
b
,
c
,
d
,
e
}
, then
n
[
(
A
×
B
)
∩
(
B
×
A
)
]
is
A
3
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B
16
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C
9
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D
4
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Solution
The correct option is
C
9
n
[
(
A
×
B
)
∩
(
B
×
A
)
]
=
n
(
A
∩
B
)
×
n
(
B
∩
A
)
=
3
×
3
=
9
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0
Similar questions
Q.
Given two sets
A
=
{
a
,
b
,
c
,
d
}
,
B
=
{
b
,
c
,
d
,
e
}
, then
n
[
(
A
×
B
)
∩
(
B
×
A
)
]
is
Q.
If
A
=
{
a
,
b
,
p
,
d
}
,
B
=
{
p
,
d
,
e
}
,
C
=
{
p
,
e
,
f
,
g
}
then verify:
(i)
A
×
(
B
∩
C
)
=
(
A
×
B
)
∩
(
A
×
C
)
(ii)
A
×
(
B
−
C
)
=
(
A
×
B
)
−
(
A
×
C
)
Q.
If A = {a, b, c, d, e} and C
∩
B = {1, 2, 3, 4}, then (A
∪
B)
∩
(A
∪
C) is
Q.
Let
A
=
{
a
,
b
,
c
,
d
}
,
B
=
{
a
,
b
,
c
}
,
C
=
{
b
,
d
,
e
}
then, find the sets D and E satisfying following condition
C
⊃
E
,
B
∩
E
=
ϕ
Q.
Let A = {a, b, c, d} B = {a, b, c}, C = {b, d, e} then, find the sets D and E satisfying following conditions.
(i) D
⊂
A, D
≠
B
(ii) C
⊃
E, B
∩
E =
ϕ
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