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Binomial Theorem Part 1

Section: Mathematics
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Question : 24 of 100
 
Marks: +1, -0
For integers n and r, let
(
n
r
)={
‌nCr′,‌if‌n≥r≥0
0,otherwise
The maximum value of k for which the sum,
k
∑
i=0
(
10
i
)(
15
k−i
)+
k+1
∑
i=0
(
12
i
)(
13
k+1−i
) exists, is equal to ..........
[24 Feb 2021 Shift 2]
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