Engineering Board Exam Reviewer · Fundamental Counting Principle · medium
How many 4-letter codes can be formed from the 26 letters of the alphabet if the first letter must be a vowel and no letter may be repeated?
- 69,000
- 87,880
- 78,125
- 358,800
Answer
A. 69,000
Solution
First letter: 5 vowels. Then 25, 24, and 23 choices for the remaining positions: 5×25×24×23=69,000.
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