# Order Santa's Reindeer

Probability Level 3

It is a foggy night, so Santa needs Rudolph the red-nose reindeer to lead the pack. He has another 8 reindeer, namely Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen. He wants to attach them to his sleigh in $4$ rows of $2$ reindeer each. Assuming ordering among each row does not affect the number of ways to order the reindeer, let the number of orderings be $N$. Find the last three digits of $N$.

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