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Byju's Answer
Standard XII
Mathematics
Power Set
The number of...
Question
The number of subsets of
{
1
,
2
,
3
,
.
.
.
.
,
9
}
containing at least one odd number is
A
324
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B
396
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C
496
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D
512
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Solution
The correct option is
A
496
The no. of subsets we can make using only even no.s
{
2
,
4
,
6
,
8
}
=
2
4
=
16
Total no. of subsets of the given set
=
2
9
=
512
Required no. of subsets
=
512
−
16
=
496
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Similar questions
Q.
The number of subsets of
{
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.
.
.
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}
containing at least one odd number is :
Q.
The number of subsets of the set
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The number of subsets of the set
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Q.
Let
S
=
{
1
,
2
,
3
,
.
.
.
.
.
,
9
}
. For
k
=
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,
2
,
.
.
.
.
.
,
5
, let
N
k
be the number of subsets of
S
, each containing five elements out of which exactly
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are odd. Then
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+
N
2
+
N
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+
N
4
+
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=
Q.
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=
{
1
,
2
,
3
,
…
,
9
}
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k
=
1
,
2
,
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5
, let
N
k
be the number of subsets of
S
, each containing five elements out of which exactly
k
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N
1
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