in how many can the letters of the word COLLEGE be arranged,such that its vowels do not come together?  Choose the correct choice from the following answers:
A) 980  B) 920  C) 1020  D) 1060  E) 1080
COLLEGE   C=1,O=1,G=1, L=2,E=2   vowels = O E E   total no. of words formed = 7!/(2!*2!) = 7!/4 = 1260   no. of words when vowels come together = CLLG(OEE) =&gt; 5!/2! * 3!/2! = 180   no. of words having vowels not together = 1260 - 180= 
<gadget id="calculator">1260 - 180</gadget>
<output>1_080</output>
1080   ANSW1080R:1080
<result>E</result>
in how many can the letters of the word COLLEGE be arranged,such that its vowels do not come together?