JEE Advanced Mathematics question
A word of at least 5 letters is made at random from 3 vowels and 3 consonants, all the letters being different. The probability that no consonant falls between any two vowels in the word is
Answer: (D)
Solution
"No consonant between any two vowels" means all the vowels used appear consecutively (as one block).
*6-letter words* ( in all): the 3 vowels form a block, arranged ways; the block and 3 consonants are 4 units: . Favourable .
*5-letter words* ( in all; there are only 3
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