In how many different ways can the letter of the word 'JUDGE ' be arranged in such a way that the vowels always come together?  Pick one:
A) 48
B) 89
C) 56
D) 74
E) 25
It has 5 different letters.   when the vowels UE are always together, they can be supposed to form one letter.   then we have to arrange the letter JD   now 4 letters can be arranged in 4!=24ways   the vowels UE can be arranged amoung themselves in 2!=2 ways   required number of ways =24*2= 
<gadget id="calculator">24*2</gadget>
<output>48</output>
48   48nswer(48)
<result>A</result>
In how many different ways can the letter of the word 'JUDGE ' be arranged in such a way that the vowels always come together?