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 “ABACUS” be arranged such that the vowels always appear together?

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

In how many different ways can the letters of the word TRANSPIRATION' be arranged so that the vowels always come together? (a) 2429500 (b) 1360800 (c) 1627800 (d) None of these

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 ways can the letters of the word PLANTAIN be arranged so that the two A do not come together?

In how many ways can the letters of the word PLANTAIN be arranged so that the two A do not 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?