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Discrete Mathematics An Open Introduction, 4th Edition

Oscar Levin

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1.
A restaurant offers 8 appetizers and 14 entrées. How many choices do you have if:
  1. you will eat one dish, either an appetizer or an entrée?
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  2. you are extra hungry and want to eat both an appetizer and an entrée?
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2.
Think about the methods you used to solve the questions about appetizers and entrées. Can you frame these as rules for how to combine two numbers of things when counting? Write down the rules for these methods.
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3.
Do your rules work? Let’s apply them to another counting problem to check. Given that a standard deck of playing cards has 12 face cards and 26 red cards, answer the following.
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(a)
How many ways can you select a card which is either a face card or a red card?
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(b)
How many ways can you select a card which is both a face card and a red card?
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