Engineering Board Exam Reviewer · Combinations · medium
The letters of the word EQUATION are used to form 5-letter arrangements (no repetition) that contain exactly 3 vowels and 2 consonants. How many are there?
- 30
- 1,800
- 3,600
- 7,200
Answer
C. 3,600
Solution
Choose 3 of the 5 vowels: 5C3=10. Choose 2 of the 3 consonants: 3C2=3. Arrange the 5 chosen letters: 5!=120. Total =10×3×120=3,600.
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