+4609 1. Find the coefficient of \(x^3y^3z^2\) in the expansion of \((x+y+z)^8\).
2. For each integer \(n\), let \(f(n)\) be the sum of the elements of the \(n\) th row (i.e. the row with \(n+1\) elements) of Pascal's triangle minus the sum of all the elements from previous rows. For example, \(f(2) = \underbrace{(1 + 2 + 1)}_{\text{2nd row}} - \underbrace{(1 + 1 + 1)}_{\text{0th and 1st rows}} = 1. \) What is the minimum value of \(f(n)\) for \(n \ge 2015\)?
