JEE Advance - Mathematics (1998 - No. 25)
[Hint: You may use the fact that $${\left( {1 + x} \right)^{\left( {m + 1} \right)p}} = {\left( {1 + x} \right)^p}{\left( {1 + x} \right)^{mp}}$$]
The problem asks to prove a divisibility property of binomial coefficients involving a prime number p. The hint suggests using the binomial theorem and induction.
The problem is about finding the value of the prime number p using the divisibility property.
The problem is irrelevant.
The problem is about proving the existence of an integer r given some constraints.
The problem doesn't involve proving any divisibility property.
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