How many words can be formed out of the letters of the word ARTICLE so that the vowels occupy even places?????
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The word "ARTICLE" has 3 even places such as 2,4,6 and there are 3 vowel such as A,I,E.So the permutation for this 3 places will be 3!.
On the other hand the permutation for the other 4 places(1,3,5,7) has 4 consonant such as R,T,C,L.So the permutation for this 4 places will be 4!
So the answer will be 3!*4!