In how many ways can the letters of the word ACUMEN be rearranged such that the vowels alwaysappear together?
Options:
A) 124 ways B) 144 ways C) 134 ways D) 154 ways E) 164 ways
ACUMEN   AUE will come together as a group which can be arranged in 3!=6 ways.   AUE, C,M,N can be arranged in 4!=24 ways.   total possible arrangements = 24*6= 
<gadget id="calculator">24*6</gadget>
<output>144</output>
144 ways   ANSWER:144 ways
<result>B</result>
In how many ways can the letters of the word ACUMEN be rearranged such that the vowels alwaysappear together?