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Solution: A number divisible by 15 must be divisible by both 3 and 5. For divisibility by 5, it must end in 0 or 5. For divisibility by 3, the digit sum must be divisible by 3. Since the digit sum is 15, which is divisible by 3, any number with digit sum 15 automatically satisfies divisibility by 3. So we only need to count 5-digit numbers with digit sum 15 and last digit 0 or 5.
But we must subtract cases where any digit > 9. Use inclusion-exclusion.
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