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Multiple Choice A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the basket in order to guarantee that there are at least 5 balls of the same color? O 14 balls O 15 balls O 12 balls O 13 balls

Multiple Choice A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the basket in order to guarantee that there are at least 5 balls of the same color? O 14 balls O 15 balls O 12 balls O 13 balls

Advanced Engineering Mathematics
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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### Multiple Choice Question **Problem Statement:** A basket holds a set of balls. Each ball is either red, green, or blue. How many balls must be there in the basket in order to guarantee that there are at least 5 balls of the same color? **Options:** - ○ 14 balls - ○ 15 balls - ○ 12 balls - ○ 13 balls ### Explanation: To solve this problem, consider the worst-case scenario for the distribution of the colored balls. To ensure at least 5 balls of the same color, calculate the maximum number of balls you can have without reaching 5 of any color. 1. Maximum for each color without reaching 5: - Red: 4 - Green: 4 - Blue: 4 2. Total = 4 (Red) + 4 (Green) + 4 (Blue) = 12 balls. Adding one more ball (13th ball) will guarantee that one color must have at least 5 balls. Thus, the minimum number of balls needed is 13. **Correct Answer: 13 balls**
Transcribed Image Text:### Multiple Choice Question **Problem Statement:** A basket holds a set of balls. Each ball is either red, green, or blue. How many balls must be there in the basket in order to guarantee that there are at least 5 balls of the same color? **Options:** - ○ 14 balls - ○ 15 balls - ○ 12 balls - ○ 13 balls ### Explanation: To solve this problem, consider the worst-case scenario for the distribution of the colored balls. To ensure at least 5 balls of the same color, calculate the maximum number of balls you can have without reaching 5 of any color. 1. Maximum for each color without reaching 5: - Red: 4 - Green: 4 - Blue: 4 2. Total = 4 (Red) + 4 (Green) + 4 (Blue) = 12 balls. Adding one more ball (13th ball) will guarantee that one color must have at least 5 balls. Thus, the minimum number of balls needed is 13. **Correct Answer: 13 balls**
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