1. Will there be at least two people who celebrate their birthday on the same day Yes, definitely O Not necessarily 2 Will there be at least three people who celebrate their birthday on the same d:

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Author:Erwin Kreyszig
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discrete math 

functions pigeon principle 

Imagine a room with 380 people.
1. Will there be at least two people who celebrate their birthday on the same day?
Yes, definitely
O Not necessarily
2. Will there be at least three people who celebrate their birthday on the same day?
Yes, definitely
O Not necessarily
3. In this scenario, what are the objects and what are the boxes? (Some call these the pigeons
and the pigeonholes, respectively.)
| are the objects.
| are the boxes.
4. What is the least number of people must you put in a room to guarantee there will be at
least four people with the same birthday? (For simplicity, pretend Feb 29 is not a possible
birthday for this group.)
Transcribed Image Text:Imagine a room with 380 people. 1. Will there be at least two people who celebrate their birthday on the same day? Yes, definitely O Not necessarily 2. Will there be at least three people who celebrate their birthday on the same day? Yes, definitely O Not necessarily 3. In this scenario, what are the objects and what are the boxes? (Some call these the pigeons and the pigeonholes, respectively.) | are the objects. | are the boxes. 4. What is the least number of people must you put in a room to guarantee there will be at least four people with the same birthday? (For simplicity, pretend Feb 29 is not a possible birthday for this group.)
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