The letters of the word 'HOSTEL’ are arranged so that vowels occupy the end places. Then the number of arrangements is

The letters of the word I'HOSTEL' are arranged so that vowels occupy the end places.Then the number of arrangements is

In how many ways can the letters of the word INTERMEDIATE be arranged so that: the vowels always occupy even places? the relative order of vowels and consonants do not alter?

In how many ways can the letters of the word INTERMEDIATE be arranged so that: the vowels always occupy even places? the relative order of vowels and consonants do not alter?

In how many different ways can the letters of the word 'DETAIL' be arranged so that the vowels occupy only the odd positions?

The letters of the word PROMISE are arranged so that no two of the vowels should come together.Find the total number of arrangements,

The numbers of ways in which the letters of the word 'VOWEL' can be arranged so that the letters O, E occupy only even places is

All the letters of the word 'EAMCOT' are arranged in different posible ways. The number of such arrangements in which no two vowels are adjacent to each other is :

Number of ways in which the letters of the word MOBILE be arranged so that the consonants always occupy the odd places is