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18
Math Prize 2014 Problem 18
Math Prize 2014 Problem 18
Source:
September 29, 2014
complementary counting
Problem Statement
For how many integers
k
k
k
such that
0
≤
k
≤
2014
0 \le k \le 2014
0
≤
k
≤
2014
is it true that the binomial coefficient
(
2014
k
)
\binom{2014}{k}
(
k
2014
)
is a multiple of 4?
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