Standard automobile license plates in a country display 3 numbers, followed by 3 letters, followed by 1 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)

There are different standard plates possible in this system.
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Step 1 ：The problem is asking for the total number of different standard plates possible in a given system. The system is defined as having 3 numbers, followed by 3 letters, followed by 1 number.

Step 2 ：Since repetitions of letters and numbers are allowed, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing, and n ways to do another, then there are m*n ways to do both.

Step 3 ：For the numbers, there are 10 possibilities (0-9) for each of the 4 slots. For the letters, there are 26 possibilities (A-Z) for each of the 3 slots.

Step 4 ：So, the total number of different standard plates is \(10^4 * 26^3\).

Step 5 ：After calculating the above expression, we get the total number of different standard plates possible in this system.

Step 6 ：Final Answer: The total number of different standard plates possible in this system is \(\boxed{175760000}\).