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Find the number of positive integers gre...

Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.

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To solve the problem of finding the number of positive integers greater than 6000 and less than 7000 that are divisible by 5, with the condition that no digit is repeated, we can follow these steps: ### Step 1: Determine the range and fixed digit Since we are looking for numbers between 6000 and 7000, the thousands place must be fixed at 6. Therefore, we have: - Thousands place: **6** ### Step 2: Identify possible digits for the unit place A number is divisible by 5 if its unit place is either 0 or 5. Thus, the unit place can be: ...
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