Instructions

The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive.

Question 51

Let m be the smallest positive integer such that the coefficient of $$x^2$$ in the expansion of $$(1 + x)^2 + (1 + x)^3 + ....... + (1 + x)^{49} + (1 + mx)^{50}$$ is $$(3n + 1)^{51}C_3$$ for some positive integer n. Then the value of n is

Correct Answer: 5

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