In how many ways can the letters of the word 'HEXAGON' be permuted? In how many words will the vowels be together?

In how many ways can the letters of the word ‘HEXAGON’ be permuted ? In how many words, vowels will be together ”?

In how many different ways can the letters of the word HEXAGON be permuted?

In how many ways can the letters of the word ' COMBINE ' be arranged so that, all the vowels never come together,

In how many ways, can the letters of the word 'DIRECTOR' be arranged, so that the three vowels are never together?

In how many ways can the letters of the words PERMUTATIONS Vowels are together.

In how many ways can the letters of the word PERMUTATIONS be arranged in which vowels are all together

In how many ways can the letters of the word ' PERMUTATIONS' be arranged if the vowels are all together

In how many different ways can the letters of the word 'DIGEST' be arranged so that the vowels are never together?

In how many ways can the letters of the words FRACTION be arranged so that the three vowels are never together?

In how many ways can the letters of the word ASSASSINATION be arranged ? In how many of these arangements the vowles always come together ?