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Standard XI
Mathematics
NCERT
Question
Let
A
=
{
x
,
y
,
z
}
and
B
=
{
1
,
2
}
. Find the number of relations from
A
to
B
.
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Solution
Verified by Toppr
It is given that
A
=
{
x
,
y
,
z
}
and
B
=
{
1
,
2
}
∴
A
×
B
=
{
(
x
,
1
)
,
(
x
,
2
)
,
(
y
,
1
)
,
(
y
,
2
)
,
(
z
,
1
)
,
(
z
,
2
)
}
Since
n
(
A
×
B
)
=
6
The number of subsets of
A
×
B
is
2
6
.
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