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

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a. You are taking an online quiz based on random selection of
one question from each of the below question pools. There are;
3 questions in 1st question pool,
2  questions in 2nd question pool,
4  questions in 3rt question pool,
3  questions in 4th question pool and
4  questions in 5th question pool.
b. There is three questions in 4th question pool. Into how many
different orders can these questions be arranged?
c. There is four questions in 5th question pool. In how many
ways we can assign different questions to 3 students?
d.  There is sixteen 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 sixteen questions in total, and
3 questions will be selected randomly to form 1st question
pool,
2 questions will be selected randomly to form 2nd question
pool,
4 questions will be selected randomly to form 3rt question
pool,
3  questions will be selected randomly to form 4th
question pool and
4 questions will be selected randomly to form 5th question
pool.
How many different arrangement of the questions are there?