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?

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?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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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