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Byju's Answer
Standard XII
Mathematics
Multinomial Expansion
The coefficie...
Question
The coefficient of
a
8
b
4
c
9
d
9
in
(
a
b
c
+
a
b
d
+
a
c
d
+
b
c
d
)
10
is
A
10
!
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B
1260
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C
5040
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D
2520
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Solution
The correct option is
D
2520
(
a
b
c
+
a
b
d
+
a
c
d
+
b
c
d
)
10
=
a
10
b
10
c
10
d
10
(
1
a
+
1
b
+
1
c
+
1
d
)
10
=
a
10
b
10
c
10
d
10
(
a
−
1
+
b
−
1
+
c
−
1
+
d
−
1
)
10
The coefficient of
a
8
b
4
c
9
d
9
is equal to the coefficient of
a
−
2
b
−
6
c
−
1
d
−
1
in
(
a
−
1
+
b
−
1
+
c
−
1
+
d
−
1
)
10
=
10
!
2
!
6
!
1
!
1
!
=
10
!
2
!
6
!
=
10
×
9
×
8
×
7
2
=
2520
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Standard XII Mathematics
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