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KEAM 2019 Math Paper
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© examsnet.com
Question : 64
Total: 121
The coefficient of
x
13
in the expansion of
(
1
−
x
)
5
(
1
+
x
+
x
2
+
x
3
)
4
is
0
2
4
−
4
None of these
Validate
Solution:
(
c
)
(
1
−
x
)
5
⋅
(
1
+
x
)
4
(
1
+
x
2
)
4
=
(
1
−
x
)
(
1
−
x
2
)
4
(
1
+
x
2
)
4
=
(
1
−
x
)
(
1
−
x
4
)
4
∴
The coefficient of
x
13
=
−
4
C
3
(
−
1
)
3
=
4
© examsnet.com
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