In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together ?

In how many ways can the letters of the word ARRANGE' be arranged

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 the letters of the word PLANTAIN be arranged so that the two A do not come together?

In how many ways can the letters of the word 'ARRANGE' be arranged such that the two r's do not occur 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 'ARRANGE' be arranged such that two A's do not occur together?

In how many ways can the letters of the word 'PARALLEL' be arranged so that all L' s do not come together ?

In how many ways the letters of the word 'ASSOCIATIONS' can be arranged so that the 2A's do not come together