In how many ways can the letters of wordTECHNOLOGYbe arranged such that all the Consonants always appear together?  Choose the correct choice from the following answers:
A) 9!
B) 4!*7!
C) 5!*5!
D) 5!*4!*2!
E) 6!*4!
Let the arrangment be: _ _ _ _ _ _ _ _ _ _ (10 letters, 3 vowels E, O, O and 7 consonant T, C, H, N, L, G, Y)   For all consonants together, consider them as 1 group {T, C, H, N, L, G, Y} E O O --&gt; this gives us 4! arrangements with {} group considered as 1 . Now {} group can in itself be arranged in 7! ways   Thus total arrangements with all consonants together = 4!*7! --&gt; 4!*7! is the correct answer.
<result>B</result>
In how many ways can the letters of wordTECHNOLOGYbe arranged such that all the Consonants always appear together?