JEE Advanced Mathematics question
The total number of words that can be made by writing the letters of the word PARAMETER so that no vowel is between two consonants is
Answer: (B)
Solution
PARAMETER has 9 letters: consonants P, R, M, T, R (5, with R twice) and vowels A, A, E, E (4, two A's and two E's).
"No vowel is between two consonants" means no vowel may stand anywhere between two consonants, so the 5 consonants must occupy 5 consecutive places, with the vowels split before and/or after this block.
- P
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