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JEE Advanced 2017 Paper 2 Mathematics Q6
Mathematics
Problem
Let
S
=
{
1
,
2
,
3
,
…
,
9
}
S=\{1,2,3,\ldots,9\}
S
=
{
1
,
2
,
3
,
…
,
9
}
. For
k
=
1
,
2
,
…
,
5
k=1,2,\ldots,5
k
=
1
,
2
,
…
,
5
, let
N
k
N_k
N
k
be the number of subsets of
S
S
S
, each containing five elements out of which exactly
k
k
k
are odd. Then
N
1
+
N
2
+
N
3
+
N
4
+
N
5
=
N_1+N_2+N_3+N_4+N_5=
N
1
+
N
2
+
N
3
+
N
4
+
N
5
=
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