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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 19ES

Textbook Problem

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Baseball Uniforms A Little League baseball team must choose the colors for its uniforms. The coach offered four different choices, and the players ranked them in order of preference, as shown in the table below.

Using the plurality with elimination method, what colors should be used for the uniforms?

To determine

Using the plurality with elimination method, what colors should be used for the uniforms?

**Given Information:**

Rankings | ||||||

Red and White | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | ||

Green and Yellow | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | ||

Red and Blue | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | ||

Blue and White | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | ||

Number of votes | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

Color is selected by plurality elimination method, second choice becomes first, 3^{r}^{d} choice become 2^{n}^{d}, 4^{t}^{h} choice becomes 3^{r}^{d}.

**Calculation:**

Since a little league baseball team must choose the colors for its uniforms, therefore color is selected by plurality elimination method, second choice becomes first, 3^{r}^{d} choice become 2^{n}^{d}, 4^{t}^{h} choice becomes 3^{r}^{d} ,In the table Red and white uniform never got 1^{S}^{t} position therefore it is eliminated as new preference schedule shown in table below

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