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Byju's Answer
Standard X
Mathematics
Cartesian Product in 3D
If A=1,2.Fi...
Question
If
A
=
{
1
,
2
}
.Find
A
×
A
×
A
Open in App
Solution
We have
A
=
{
1
,
2
}
A
×
A
=
{
1
,
2
}
×
{
1
,
2
}
=
{
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
1
)
,
(
2
,
2
)
}
A
×
A
×
A
=
{
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
1
)
,
(
2
,
2
)
}
×
{
1
,
2
}
=
{
(
(
1
,
1
)
,
1
)
,
(
(
1
,
2
)
,
1
)
,
(
(
2
,
1
)
,
1
)
,
(
(
2
,
2
)
,
1
)
,
(
(
1
,
1
)
,
2
)
,
(
(
1
,
2
)
,
2
)
,
(
(
2
,
1
)
,
2
)
,
(
(
2
,
2
)
,
2
)
}
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0
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