Find the number of ways in which the letters of the word HONESTRY can be arranged ( in a row) taken all at a time.

Find the number of ways in which the letters of the word “ARRANGEMENT” can be arranged so that the two R’s and two A’s do not occur together.

The number of ways in which the letters of the word ARRANGE be arranged so that (i) the two R's are never together, (ii) the two A's are together but not two R's. (iii) neither two A's nor two R's are together.

Find the number of ways in which n things of which r are alike, can be arranged in a circular order.

In how many ways can the letters of the word 'ALGEBRA' can be arranged in a row if : the two A’s are together?

Find the numbers of ways in which 5 girls and 5 boys can be arranged in a row if no two boys are together.

Find the number of ways in which n different beads can be arranged to form a necklace.

Find the number of ways in which 12 different beads can be arranged to form a necklace.

In how many ways can the letters of the word 'ALGEBRA' can be arranged in a row if : the two A’s are not together ?

In how many ways can the letters of the word PERMUTATIONS be arranged if the vowels are all together?