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Question
Mathematics
The coefficient of t4 in (1-t)6(1+t2)5 is equal to
Q. The coefficient of
t
4
in
(
1
−
t
)
6
(
1
+
t
2
)
5
is equal to
675
156
Binomial Theorem
Report Error
A
60
15%
B
80
0%
C
100
69%
D
125
15%
Solution:
The coefficient of
t
4
in
(
1
−
t
)
6
(
1
+
t
2
)
5
=
6
C
0
5
C
2
+
6
C
2
⋅
5
C
1
+
6
C
4
⋅
5
C
0
=
(
1
)
(
10
)
+
(
15
)
(
5
)
+
(
15
)
(
1
)
=
10
+
75
+
15
=
100