permutation and combination!!!!!!!!!!

Probability Level pending

How many words can be formed out of the letters of the word ARTICLE so that the vowels occupy even places?????

4!5! 2!3! 5!6! 3!4!

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1 solution

Tauhid Khan Tamim
Oct 25, 2020

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!

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