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The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4, (repetition of digits is not allowed) and are multiple of 3 is ?
- 30
- 48
- 24
- 36
Correct answer: 30
Solution
The correct option is right because the numbers formed must start with 2, 3, or 4 to be within the range of 2,000 to 5,000, and the sum of the digits must be a multiple of 3. By systematically counting valid combinations while adhering to these constraints, we find that there are exactly 30 such numbers.
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