# Present Wrapping

**Discrete Mathematics**Level 3

It's Christmas Eve and you've left all of your wrapping to the last minute. You have to wrap presents for children named Bob, Bill, Barrie, Bart, Brandon, Bernadette and Bertha. They all wanted to get one toy train. You meant to buy one toy train for each child but accidentally bought double the amount of trains necessary. You begin by putting one train into each child's gift basket so that each child will be happy on Christmas morning. After that you got lazy and decided to put the remaining toys in any gift basket you wanted. There are \( \text{N} \) number of ways to put the remaining trains in the baskets. What are the last three digits of \( \text{N} \)?

**Details and assumptions**

The toy trains are identical to each other.

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