In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections: A, B and C. A…

In an examination of Mathematics paper, there are $\displaystyle 20$ questions of equal marks and the question paper is divided into three sections : $\displaystyle A, B$ and $\displaystyle C$. A student is required to attempt total $\displaystyle 15$ questions taking at least $\displaystyle 4$ questions from each section. If section $\displaystyle A$ has $\displaystyle 8$ questions, section $\displaystyle B$ has $\displaystyle 6$ questions and section $\displaystyle C$ has $\displaystyle 6$ questions, then the total number of ways a student can select $\displaystyle 15$ questions is $\displaystyle \_\_\_\_$.