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.

In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together ?

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

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 ‘PENCIL’ be arranged so that N is always next to E?

In how many ways can the letter of the word 'INSURANCE' be arranged, so that the vowels are never separate?

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

In how many different ways can the word ‘EATERAN EATER’ be arranged so that no two E’s occur together.

The number of arrangements of the letters of the word 'BHARAT' taken all at a time is: