In how many ways can the letters of wordSOLUTIONbe arranged such that all the Consonants always appear together?
Choose the correct choice from the following answers:
A) 9!  B) 5!*4!  C) 5!*5!  D) 5!*4!*2!  E) 6!*4!
Let the arrangment be: _ _ _ _ _ _ _ _ _ _ (8 letters, 4 vowels O, U, I, O and 4 consonant S, L, T, N)   For all consonants together, consider them as 1 group {S, L, T, N} O U I O --&gt; this gives us 5! arrangements with {} group considered as 1 . Now {} group can in itself be arranged in 4! ways   Thus total arrangements with all consonants together = 5!*4! --&gt; 5!*4! is the correct answer.
<result>B</result>
In how many ways can the letters of wordSOLUTIONbe arranged such that all the Consonants always appear together?