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Byju's Answer
Standard XI
Mathematics
Coefficients of Terms Equidistant from Beginning and End
The value of ...
Question
The value of \(
\sum^{50}_{r=0}(^{100}C_r.^{200}C_{150+r})\)
is equal to
A
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B
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C
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D
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Solution
The correct option is
A
100
C
r
.
200
C
150
+
r
=
100
C
r
.
100
C
50
−
r
T
h
u
s
,
∑
50
r
=
0
100
C
4
.
200
C
50
−
r
=
300
C
50
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