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2.7 India Post uses a 6-digit Postal Index Number (PIN) to number its offices in different cities. The first 3 digits of a PIN are, in order, 4, 1, and 0. Create the greatest PIN and the smallest PIN using 2, 5, and 9 as the last 3 digits of the PIN such that no digit is repeated.​

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Answer:

To create the greatest PIN:

1. Start with the first three digits: 4, 1, and 0.

2. Use the greatest digits for the last three digits: 9, 5, and 2.

3. Combine them to form the greatest PIN: 410952.

To create the smallest PIN:

1. Start with the first three digits: 4, 1, and 0.

2. Use the smallest digits for the last three digits: 2, 5, and 9.

3. Combine them to form the smallest PIN: 410259.

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