At the World Goldendoodle Championship, 16 doodles compete to see who is the fluffiest.  The top five contests receive prizes and cash: 1st = $300,000 2nd = $100,000 3rd = $50,000 4th = $25,000 5th = $10,000 Obviously, being first is better than being fifth.  How many ways can the 16 doodles make the top five?

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At the World Goldendoodle Championship, 16 doodles compete to see who is the fluffiest.  The top five contests receive prizes and cash:

1st = $300,000

2nd = $100,000

3rd = $50,000

4th = $25,000

5th = $10,000

Obviously, being first is better than being fifth.  How many ways can the 16 doodles make the top five?

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