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 students is required to attempt total \( 15 \) questions taking at least \( 4 \) questions from each section. If section \( A \) has \( 8 \) questions, section \( B \) has \( 6 \) questions and section \( C \) \( 6 \) questions, then the total number of ways a student can select \( 15 \) questions is ______.