In how many ways can we select two vowels and three consonants from the letters of the word ARTICLE ?

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Solution

The correct option is A 12
There are 3 vowels and 4 consonants in the given word.
The number of ways of selecting 2 vowels and 3 consonants from 3 vowels and 4 consonants are
$= {3_{C}}_{2} \times {4_{C}}_{3} = 3 \times 4 = 12$ .

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