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Byju's Answer
Standard XII
Mathematics
Combination
The coefficie...
Question
The coefficient of
x
59
in the expansion of
(
1
+
x
)
40
(
x
−
1
)
20
is
A
0
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B
−
20
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C
20
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D
59
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Solution
The correct option is
C
20
(
1
+
x
)
40
(
x
−
1
)
20
=
(
1
−
x
2
)
20
(
1
+
x
)
20
So,the coefficient of
x
59
in the expansion of
(
1
+
x
)
40
(
x
−
1
)
20
=
20
C
20
×
20
C
19
=
20
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1
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