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Byju's Answer
Standard XII
Mathematics
Finite and Infinite Set
Let A = 1 ,...
Question
Let
A
=
{
1
,
2
,
3
}
. Then find the power set of A
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Solution
Subset of A are:
ϕ
,
{
1
}
,
{
2
}
,
{
3
}
,
{
1
,
2
}
,
{
1
,
3
}
,
{
2
,
3
}
and
{
1
,
2
,
3
}
.
Hence, total number of subset are
=
2
3
=
8
.
Hence,
P
(
A
)
=
{
ϕ
,
{
1
}
,
{
2
}
,
{
3
}
,
{
1
,
2
}
,
{
1
,
3
}
,
{
2
,
3
}
,
{
1
,
2
,
3
}
}
.
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1
Similar questions
Q.
Let A = {a, b}. Then, the power set of A is given by P(A) = ___.
Q.
Let set A = {1, 2, 3}, set B = {2, 3, 4}, set C = {4, 5}. Find (A
∩
B)
×
C.
Q.
Write the power set of
A
, given that
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=
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1
,
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}
Q.
Let
A
=
{
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,
2
,
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,
.
.
.
,
10
}
and
B
=
{
101
,
102
,
103
,
.
.
.
,
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}
. Then set
A
and
B
are
Q.
Let
P
=
{
1
,
2
,
3
}
and a relation on set
P
is given by the set
R
=
{
(
1
,
2
)
,
(
1
,
3
)
,
(
2
,
1
)
,
(
1
,
1
)
,
(
2
,
2
)
,
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3
,
3
)
,
(
2
,
3
)
}
. Then
R
is:
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