Engineering Board Exam Reviewer · Fundamental Counting Principle · hard
How many 5-digit numbers greater than 30,000 can be formed from the digits 1,2,3,4,5,6 without repetition?
- 720
- 360
- 600
- 480
Answer
D. 480
Solution
The first digit must be 3,4,5, or 6 (4 choices). The remaining 4 positions are filled from the other 5 digits in 5×4×3×2=120 ways. Total =4×120=480.
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