In how many ways can the letters of the word CONSTANT be arranged keeping the two vowels always together ?

In how many ways can the letters of the word MATHEMATICS' be arranged so that vowels always come together?

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

In how many ways can the letters of the word “ABACUS” be arranged such that the vowels always appear 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 words ACUMEN be rearranged such that the vowels always appear together?

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?