Binomial Theorem

The coefficient of \(x^{70}\) in \(x^2(1+x)^{98}+x^3(1+x)^{97}+x^4(1+x)^{96}+\ldots+x^{54}(1+x)^{46}\) is \({ }^{99} \mathrm{C}_{\mathrm{p}}-{ }^{46} \mathrm{C}_{\mathrm{q}}\). Then a possible value of \(\mathrm{p}+\mathrm{q}\) is :