Find the coefficient of x4 in the expansion of (1 + x + x2 + x3)11
Answers
Answered by
10
Answer:
x
4
can be achieved in the following ways:
x
4
.1
n−4
.(x
2
)
0
.(x
3
)
0
Hence, coefficient will be
n
C
4
.
x
2
.1
n−3
.(x
2
)
1
.(x
3
)
0
Hence, coefficient will be 3
n
C
3
.
x
1
.1
n−2
.(x
2
)
0
.(x
3
)
1
Hence, coefficient will be 2
n
C
2
.
x
0
.1
n−2
.(x
2
)
2
.(x
3
)
0
Hence, coefficient will be
n
C
2
.
Hence, the required coefficient will be
n
C
4
+3
n
C
3
+3
n
C
2
=
n
C
4
+3(
n
C
3
+
n
C
2
).
=
n
C
4
+3(
n+1
C
3
).
=
n
C
4
+
n
C
2
+
n
C
1
.
n
C
2
Step-by-step explanation:
Answered by
3
Answer:
Yes he is right
hope it helps
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