The number of ways in which all the letters of the word 'INTEGRATION' can bearranged so that all vowels are always in the beginning of the word is

The number of ways in which all the letters of the word 'NTEGRATION' can bearranged so that all livowels are always in the beginning of the word is

Find the number of ways in which the letters of the word DRAUGHT can be arranged so that the vowels are always together .

The number of ways in which the letters of the word 'FRACTION' be arranged so that All the vowels come together is

The number of ways in which the letters of the word 'FRACTION' be arranged so that All the vowels not come together is

The number of ways in which the letters of the word MIRACLE can be arranged,if vowels always occupy the odd places,is

In how many different ways can the letters of the word 'DIRECTOR' be arranged so that the vowels are always together?

Find the number of ways in which the letters of the word 'INTERMEDIATE' can be arranged taken all at a time so that the vowels are not all together.