Aricent Written Test Qs.(Quantitative Aptitude) :: Permutation and Combination - Discussion

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Explanation:
Total no. of ways ENGINEERING can be arranged is
E=3, N=3, G=2, I=2, R=1
=11!/(3!*3!*2!*2!) => 277200

No. of ways vowels come together
Vowels ==> (eieei)ngnrng =>
EIEEI an be considered as 1 letter ... so 1!
NGNRNG = 6!
EIEEI can be arranged as 5!/(3!*2!)
NGNRNG can be arranged as 6!/(3!*2!)

So (1!+6 !)*5!/(3!*2!*3!*2!) = 4200
So no. of ways vowels not come together = 277200 - 4200 = 273000
Ans : 273000