Latest exam Aptitude Question SOLUTION: In how many ways can the letters of the word " MEADOWS " be arranged so that the words. 1. Contain all the vowels together ? 2 Has no two vowels together ?

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In how many ways can the letters of the word " MEADOWS " be arranged so that the words. 1. Contain all the vowels together ? 2 Has no two vowels together ?

Asked In exam sai (11 years ago)

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Spandan  (10 years ago)

Tot no of vowels=3
No of methods dat vowels can rearrange amongst themselves = 3!
Tot no of places these vowels together can occupy=5 ( 123,234,345,456,567)
Now, tot no of ways in which consonants are ARBITRARILY chosen and arranged among themselves= 4!
Therefore 1) 3!*4!*5=3!*5!(obviously)
2) Case ( No Vowel Together)= Case( Total no of ways)-Case( All vowels together)
Hence, ans= 7!-(3!*5!)

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