Combinatory: A question paper is divided into two parts A and B and each part contains 5 questions. In how many ways a student can answer the question paper, if he has to solve total 6 questions including atleast 2 from each section.

I solved the question using the logic first select two questions from each sections. ($\binom{5}{2} * \binom{5}{2}$). Then from remaining 6 questions choose any 2. therefore final ans is = $\binom{5}{2} * \binom{5}{2} * \binom{6}{2}$ which is 1500. Is my answer correct. If wrong What is the mistake. I found this question in an aptitude book which I have. The book mentions the answer as 200.