Question

A new sandwich store just opened. It is called BuildYourOwnSandwich. Sandwiches can be made out of regular buns, bagels, or French baguette. Each sandwich can be filled with steak, chicken, fish or veggie patty. Customers can also choose 1 of the 10 different types of sauces to put into their sandwich. The owner of the sandwich store decides to reorganize the menu, and wants to display a picture of all the possible sandwiches one can eat.

1. What is the total number of sandwiches that can be prepared

1. 64                    b) 80                           c) 30                d) 120

2. How many if, on one day, bagels are not available and 2 sauces are out of stock?

1. 64                    b) 80                           c) 30                d) 120

In a local football league, 10 teams compete for accessing the playoffs. Only 4 teams will make it.

3. In how many possible ways teams can clinch the playoffs if order does not matter (i.e., in order to be admitted to playoffs, teams must be ranked between 1^st and 4^th position)?

1. 210                  b) 720              c) 5040                        d) 10!

4. In how many possible ways teams can be selected if order does matter?

1. 210                  b) 720              c) 5040                        d) 10!

Answer 1

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