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Byju's Answer
Standard XII
Mathematics
General Term of Binomial Expansion
∑ r =1 nCrn i...
Question
∑
n
r
=
1
n
C
r
is
A
2
n
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B
2
n
+ 1
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C
2
n
- 1
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D
2
n
−
1
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Solution
The correct option is
C
2
n
- 1
∑
n
r
=
0
n
C
r
=
n
C
0
+
n
C
1
+
n
C
2
+
.
.
.
+
n
C
n
=
2
n
∑
n
r
=
1
n
C
r
=
n
C
1
+
n
C
2
+
.
.
.
+
n
C
n
Add
and
subtract
n
C
0
on
RHS
∑
n
r
=
1
n
C
r
=
n
C
0
+
n
C
1
+
n
C
2
+
.
.
.
+
n
C
n
−
n
C
0
=
2
n
−
1