a.  You are taking an online exam based on random selection of one question from each of the below question pools. There are;

    3  questions in 1st question pool,

    4  questions in 2nd question pool,

    2  questions in 3rt question pool,

    3  questions in 4th question pool and

    5  questions in 5th question pool.

    In how many ways can an exam paper be prepared?

b.  There is five questions in 5th question pool. Into how many different orders can these questions be arranged?

c.  There is five questions in 5th question pool. In how many ways we can assign different questions to 3 students?

d.  There is seventeen questions in total, and five will be chosen at random to form an exam.  How many different exams papers can be prepared?

e.  There is seventeen questions in total, and

    3  questions will be selected randomly to form 1st question pool,

    4  questions will be selected randomly to form 2nd question pool,

    2  questions will be selected randomly to form 3rt question pool,

    3  questions will be selected randomly to form 4th question pool and

    5  questions will be selected randomly to form 5th question pool.

       How many different arrangement of the questions are there?