Six papers are set in examination, two of them in mathematics: in how many different orders can the papers be given, provided only that the two mathematical papers are not successive?

In how many ways can 7 exmination paopers be arranged so that the best and the worst papers are never together?

In how many ways can 10 examination papers be arranged so that the best and worst papers never come together?

In a test paper first section contain 5 questions each with 4 choices and second sections contains 4 questions each with 3 choices . In how many different ways can the paper be answered if all the questions are attempted ?

Six students are contesting the election for the presidentship of the students' union. In how many ways can their names be listed on the ballot papers?

There are 10 candidates for an examination out of which 4 are appearing in Mathematics and remaining 6 are appearing indifferent subjects.In how many ways can they be seated in a row so that no two Mathematics candidates are together?

In how many ways can 4 different books, one each in chemistry, physics, biology and mathematics, be arranged on a shelf?

In an examination, there are 8 candidates out of which 3 candidates have to appear in mathematics and the rest in different subject. In how many ways can they be seated in a row, if candidtes appearing in mathematics are not to sit together ?

In how many ways can 9examination papers arranged so the best and the worst papers are never together?