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

In how many ways can the letters of he word ARRANGE be arranged so that the two A's are together but not two R's

In how many ways can the letters of he word ARRANGE be arranged so that the two A\'s are together but not two R\'s

In how many ways can the letters of he word ARRANGE be arranged so that the two A's are together but not two R's

In how many ways can the letters of the word ARRANGEMENTS be arranged? : Find the chance that an arrangement chosen at random begins with the letters EE.

In how many ways can the letters of the word ARRANGEMENTS be arranged? : Find the probability that the consonants are together.

In how many ways the letters of the word 'ARRANGE' can be arranged so that the relative positions of vowels and consonants are not disturbed.