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

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

(i) How many words can be formed with the letters of the word 'FAILURE', if A and F are always together? (ii) In how many ways can 6 question papers be arranged if the best and worst papers are always together?

In how many ways can the letters of the word BANARAS be arranged so that the letters N and S are never together

In how many ways can the letters of the word DIRECTOR be arranged so that the three vowels are never together?

In how many ways can 30 different pearls be arranged to form a necklace?

In how many types ways can five different examination papers of maths, physics, chemistry, computer an physical education be arranged so that physics and chemistry papers never come together.

In how many ways can the letters of the word ' COMBINE ' be arranged so that, all the vowels never come together,

In how many ways can the letters of the word ARRANGE be arranged so that the two R's are never together.

In how many ways can the letters of the word PLANTAIN be arranged so that the two A do not come together?

In how many ways can 6 boys and 4 girls be arranged in a straight line so that no two girls are ever together ?