Suppose $n$ is composite. Consider a prime $q$ that is a factor of $n$ and let $(q^k) || n$. Then $q$ does not divide $$\dbinom{n}{q}$$
Why it is correct?
Suppose $n$ is composite. Consider a prime $q$ that is a factor of $n$ and let $(q^k) || n$. Then $q$ does not divide $$\dbinom{n}{q}$$
Why it is correct?
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