This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
761,742
Step 1: Identify the given digits. The digits are .
Step 2: Form the largest 6-digit number using these digits. To form the largest number, arrange the digits in descending order. The largest number is .
Step 3: Form the smallest 6-digit number using these digits. To form the smallest number, arrange the digits in ascending order. Since a 6-digit number cannot start with , the smallest non-zero digit () is placed first, followed by , and then the remaining digits in ascending order. The smallest number is .
Step 4: Calculate the difference between the largest and smallest number. Difference = Largest number - Smallest number The difference between the largest and smallest number is .
Step 1: Identify the number of plates produced in one hour. The factory produces plates in one hour.
Step 2: Identify the total time for production. The total time is hours.
Step 3: Calculate the total number of plates produced in hours. Total plates = Plates per hour Number of hours The factory produces in hours.
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Identify the given digits. The digits are 4, 2, 6, 8, 0, 1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.