In how many ways can the letters of the word VIOLENT be arranged so that vowels ocupy only the odd places?

In how many ways can the letters of the word ARRANGE' be arranged

In how many other ways can the letters of the word MULTIPLE be arranged

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

In how many ways can the letters of the word STRANGE be arranged so that the vowels may appear in the odd places?

In how many ways can the all letters of the word 'DELHI' be arranged that the vowels occupy on at even places?

In how many ways can the letters of the world CORPORATION be arranged so that vowels always occupy even places ?

In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd positions? (a) 210 (b) 576 (c) 144 (d) 1728 (e) 3456