Multiple choice

Using all the letters of the word LINEAR. How many words start with a vowel but end with a consonant?

  1. 224

  2. 316

  3. 212

  4. 216

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

LINEAR has 6 letters: 3 vowels (I, E, A) and 3 consonants (L, N, R). To start with a vowel (3 choices) and end with a consonant (3 choices), there are 3 * 3 = 9 ways for the ends. The middle 4 letters can be arranged in 4! = 24 ways. Total = 9 * 24 = 216.

AI explanation

The word LINEAR has 6 letters with 3 vowels (I, E, A) and 3 consonants (L, N, R). The first place can be filled by a vowel in 3 ways and the last place can be filled by a consonant in 3 ways. The remaining 4 middle letters can be arranged in 4 factorial ways, which equals 24. The total number of such words is 3 times 3 times 24, which equals 216.

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