Investigate!

  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?

    2. you are extra hungry and want to eat both an appetizer and an entrée?

  2. Think about the methods you used to solve question 1. Write down the rules for these methods.

  3. Do your rules work? A standard deck of playing cards has 26 red cards and 12 face cards.

    1. How many ways can you select a card which is either red or a face card?

    2. How many ways can you select a card which is both red and a face card?

    3. How many ways can you select two cards so that the first one is red and the second one is a face card?

in-context