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Byju's Answer
Standard XII
Mathematics
Binomial Expression
In the expans...
Question
In the expansion of
(
1
+
3
x
+
2
x
2
)
6
, the coefficient of
x
11
is
A
144
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B
288
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C
216
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D
576
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Solution
The correct option is
A
576
=
(
2
x
2
+
3
x
+
1
)
6
=
(
2
x
2
+
2
x
+
x
+
1
)
6
=
(
2
x
+
1
)
6
(
x
+
1
)
6
x
11
can be formed by
x
5
×
x
6
or
x
6
×
x
5
Coefficient of
x
11
=
6
C
5
(
2
)
5
×
6
C
6
+
6
C
6
(
2
)
6
×
6
C
5
=
32
×
18
=
576
D
is correct
Suggest Corrections
1
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In the expansion of
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