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?

How many different words can be formed of the letters of the word 'MALKENKOV' so that no two values are together

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

There are three mathematics teachers in a college in which there are 6 classes. In how many different ways can they choose the classes provided one teaches one class only

In how many different ways can the letters of the word 'SALOON' be arranged If the two O's must not come together?

How many lines can pass through (a) one given point (b) two given points

Two persons go in a railways carriage where there are 6 vacant seats. In how many different ways can they seat themselves?

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?

How many line can be drawn through two distinct given points

In how many ways can a team of 11 players be selected from 14 players when two of them can play as goalkeepers only?

How many lines can pass through (a) one given point? (b) two given points?