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Byju's Answer
Standard XII
Physics
Unit Vectors
C 1/ C 0+2 C ...
Question
C
1
C
0
+
2
C
2
C
1
+
⋯
+
15
C
15
C
14
=
A
100
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B
120
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C
-120
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D
None of these
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Solution
The correct option is
B
120
C
1
C
0
+
2
C
2
C
1
+
3
C
3
C
2
+
⋯
+
n
.
C
n
C
n
−
1
=
n
(
n
+
1
)
2
Putting n = 15, then
15
×
(
15
+
1
)
2
=
120
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0
Similar questions
Q.
C
1
C
0
+
2
C
2
C
1
+
3
C
3
C
2
+
.
.
.
.
+
15
C
15
C
14
is equal to
Q.
If
C
0
,
C
1
,
C
2
,
…
,
C
15
are binomial coefficients in
(
1
+
x
)
15
, then
C
1
C
0
+
2
C
2
C
1
+
3
C
3
C
2
+
⋯
+
15
C
15
C
14
is equal to
Q.
If
C
0
,
C
1
,
C
2
,
.
.
.
.
.
.
C
15
are the binomial coefficients in the expansion of
(
1
+
x
)
15
, prove that
C
1
C
0
+
2
C
2
C
1
+
3
C
3
C
2
+
.
.
.
.
.
.
.
.
.
.
.
+
15
C
15
C
14
=
120
Q.
If
c
0
,
c
1
,
c
2
,
⋯
c
15
are the Binomial co-efficients in the expansion of
(
1
+
x
)
15
, then the value of
c
1
c
0
+
2
c
2
c
1
+
3
c
3
c
2
+
⋯
+
15
c
15
c
14
is
Q.
Find
C
1
C
0
+
2
C
2
C
1
+
3
C
3
C
2
+
.
.
.
.
+
n
C
n
C
n
−
1
=
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