10. You have 39 friends who come over to your house for a party. You have: • 4 different sodas they can drink, • 5 different pizzas types to choose from, and 2 different desserts to choose from. Can each of your friends choose different sets of items if they take one of each type of item? a. What classification would you use as the pigeonholes? b. What are considered the pigeons? 39 friends c. How many pigeonholes do you have? Show your work in the space provided. d. What does the Pigeonhole Principle tell us? Write your response below:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. You have 39 friends who come over to your house for a party. You have:
- 4 different sodas they can drink,
- 5 different pizza types to choose from, and
- 2 different desserts to choose from.

Can each of your friends choose different sets of items if they take one of each type of item?

a. What classification would you use as the pigeonholes? _____

b. What are considered the pigeons? 39 friends

c. How many pigeonholes do you have? Show your work in the space provided.

d. What does the Pigeonhole Principle tell us?

*Write your response below:*
Transcribed Image Text:10. You have 39 friends who come over to your house for a party. You have: - 4 different sodas they can drink, - 5 different pizza types to choose from, and - 2 different desserts to choose from. Can each of your friends choose different sets of items if they take one of each type of item? a. What classification would you use as the pigeonholes? _____ b. What are considered the pigeons? 39 friends c. How many pigeonholes do you have? Show your work in the space provided. d. What does the Pigeonhole Principle tell us? *Write your response below:*
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Step 1

The pigeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.

given ,

39 friends in your home party 

we  have 4 different types of sodas , 5 different types of pizzas , and 2 different types of desserts .

we have to find did every friend get different set of food if they take one of each type of food  :

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