Let m be the smallest positive integer such that the coefficient of x^2 in the expansion of (1+x)^2+(1+x)^3+...

Question

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

Accepted Answer

5

JEE Advanced 2016 Mathematics question

Solution

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