Patni
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Numerical Ability
Log and Antilog
in how many can the letters of the word COLLEGE be arranged,such that its vowels do not come together?
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- ans: 1080 ways
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) => 5!/2! * 3!/2! = 180
no. of words having vowels not together = 1260 - 180 = 1080
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