Let the coefficients of three consecutive terms\(T_r, T_{r+1}\) and \(T_{r+2}\) in the binomial expansion of \((\mathrm{…

Let the coefficients of three consecutive terms\(T_r, T_{r+1}\) and \(T_{r+2}\) in the binomial expansion of \((\mathrm{a}+\mathrm{b})^{12}\) be in a G.P. and let p be the number of all possible values of r . Let q be the sum of all rational terms in the binomial expansion of \((\sqrt[4]{3}+\sqrt[3]{4})^{12}\). Then \(p+q\) is equal to :