Question
Using all the letters of the word RELIAN, how many words
start with a vowel but end with a consonant?Solution
The word RELIAN has three vowels – E, I, A.
If a word starts and ends with a vowel:
3P2 = 3 × 2 = 6
Remaining 4 letters → 4! = 24
Total = 6 × 24 = 144
Now, to count those that start with a vowel but end with a consonant:
Start: E, I, A → 3 ways
End: R, L, N → 3 ways
Middle 4 letters → 4! = 24
So total = 3 × 3 × 24 = 216
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