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High School
By True IITJEE on Jan. 9, 2017 | Updated Jan. 3, 2018

JEE Advanced 2016 Paper 1 Mathematics Question 38

A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to in…
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High School
By True IITJEE on Jan. 17, 2017 | Updated Jan. 3, 2018

JEE Advanced 2016 Paper 1 Mathematics Question 51

Let \(m\) be the smallest positive integer such that the coefficient of \(x^2\) in the expansion of \((1+x)^2 + (1+x)^3 + \dots + (1+x)^{49} + (1+mx)^{50}\) is \((3n+1)\ \ {}^{51}C_{3}\) for some posi…
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