Question
Using all the letters of the word CANOER, how many words
start with a vowel but end with a consonant?Solution
The word CANOER has three vowels – A, O, E.
If a word starts and ends with a vowel: 3P2 = 6 ways
Remaining 4 letters → 4! = 24
Total = 6 × 24 = 144
Start with vowel, end with consonant:
Start: 3 vowels → A, O, E → 3 ways
End: C, N, R → 3 ways
Remaining 4 letters → 4! = 24
Total = 3 × 3 × 24 = 216
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