Question 6
Find the number of nonnegative integers $k$, $0 \le k \le 2188$, such that $\binom{2188}{k}$ is divisible by $2188$.
(Note that the binomial coefficient is defined by $\binom{n}{r} = \frac{n!}{r!(n-r)!}$.)
(Note that the binomial coefficient is defined by $\binom{n}{r} = \frac{n!}{r!(n-r)!}$.)