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There are 40,320 ways to rearrange the 8 reindeer. This is a permutation of 8 items taken 8 at a time with no repetition allowed, ie. the same reindeer can't be used more than once in any arrangement. The equation for this permutaion is P=n!/(n-r)!, where the number of items (reindeer), n=8, and the number chosen in each arrangement, r=8.

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