In how many ways can letters of word CINEMA be arranged so that order of vowels donot change?

First determine how many ways the 6 letters of CINEMA could be arranged without worrying about how the vowels are arranged. This number will include all possible combinations of vowel order. Then divide this by the number of ways that the three vowels can be arranged - that will leave you with how many ways the 6 letters can be arranged with only one sequence of the vowels.