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Question
How many seven lettered words without repetition can be formed out of the letters of ′MISTAKE′ such that only consonants go into odd places
How many seven lettered words without repetition can be formed out of the letters of ′MISTAKE′ such that only consonants go into odd places
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Solution
The correct option is D 144
Only consonants in the odd places is same as only vowels in the even places. There are four consonants and four odd places, three vowels and three even places.
Both vowels and consonants can be arranged among themselves in 3! and 4! ways respectively.
So required answer =3!×4!=144
Only consonants in the odd places is same as only vowels in the even places. There are four consonants and four odd places, three vowels and three even places.
Both vowels and consonants can be arranged among themselves in 3! and 4! ways respectively.
So required answer =3!×4!=144
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