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Multiple choice

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

  1. $\displaystyle \frac{9}{20}$
  2. $\displaystyle \frac{9}{10}$
  3. $\displaystyle \frac{7}{10}$
  4. $\displaystyle \frac{11}{20}$
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