Question
Using all the letters of the word IMPACT, how many words
start with a vowel but end with a consonant?Solution
The word IMPACT has two vowels – I and A.
If a word starts and ends with a vowel, total arrangements =
2P2 = 2 × 1 = 2
Remaining 4 letters → 4! = 24
Total = 2 × 24 = 48
If a word starts with a vowel and ends with a consonant,
First letter: I or A → 2 ways
Last letter: M, P, C, T → 4 ways
Middle 4 letters: 4! = 24 ways
So total = 2 × 4 × 24 = 192
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