Multiple choice

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

  1. 12

  2. 14

  3. 18

  4. 22
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A Correct answer
Explanation

ARTICLE has vowels A, I, E (3) and consonants R, T, C, L (4). Ways to select 2 vowels from 3 = 3C2 = 3. Ways to select 3 consonants from 4 = 4C3 = 4. Total ways = 3 * 4 = 12.

AI explanation

The word ARTICLE contains 3 vowels (A, I, E) and 4 consonants (R, T, C, L). Using the combination formula, we calculate the ways to select 2 vowels out of 3 and 3 consonants out of 4. The required number of ways is 3C2 multiplied by 4C3. This equals 3 multiplied by 4, which gives 12.

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