In how many ways a student can attempt 6 questions from an examination paper consisting 8 questions?

In how many ways a student can fail an examination having 5 subjects.

In an examination a question paper consists of' 12 questions divided into 2 parts I and H containing 5 and 7 questions respectively. A student is required to attempt 8 questions. In how many ways the student can answer 8 questions by selecting at least 3 questions from each part.

In an examination a question paper consists of' 12 questions divided into 2 parts I and II containing 5 and 7 questions respectively. A student is required to attempt 8 questions. In how many ways the student can select 4 questions from part I and 4 questions from part II.

In an examination a question paper consists of' 12 questions divided into 2 parts I and II containing 5 and 7 questions respectively. A student is required to attempt 8 questions. In how many ways the student can select 5 questions from part I and 3 questions from part II.

There is a question paper consisting of 15 questions. Each question has an internal choice of 3 options. In how many ways can a student attempt one or more questions of the given fifteen questions in the paper?

There are three section A,B, C in a paper each section having 5 questions . In how many ways a student can solve exactly 5 questions taken at least one question from each section.

In an examination, the question paper contains three different sections A,B, nd C containing 4,5, and 6 questions respectively. In how many ways, a candidate can make a selection of 7 questions, selecting at lest tow questions from each sectiion.

In an examination a question paper consists of' 12 questions divided into 2 parts I and II containing 5 and 7 questions respectively. A student is required to attempt 8 questions. In how many ways he can select 3 questions from part I and 5 questions from part II?