Working with the
Counting Principle
 Topic Index | Algebra Index | Regents Exam Prep Center


Answer the following questions using the Counting Principle.

 

1.

A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter).  How many possible ways can a bag of popcorn be purchased?

Choose one:
 3
9 
27

 

 

2.

Information about girls' ice skates:
   Colors:  white, beige, pink, yellow, blue
   Sizes: 4, 5, 6, 7, 8
   Extras:  tassels, striped laces, bells
Assuming that all skates are sold with ONE extra, how many possible arrangements exist?  
 

 Choose one:
 25
50
75

 

 

3.

Your state issues license plates consisting of letters and numbers.  There are 26 letters and the letters may be repeated.  There are 10 digits and the digits may be repeated.  How many possible license plates can be issued with two letters followed by three numbers?

Choose one:
 25000
67600
676000

 

 

4.

 

 The ice cream shop offers 31 flavors.  You order a double-scoop cone.  In how many different ways can the clerk put the ice cream on the cone if you wanted two different flavors?

Choose one:
 961
930
900

 

 

5.

Heather has finally narrowed her clothing choices for the big party down to 3 skirts, 2 tops and 4 pair of shoes.  How many different outfits could she form from these choices?

Choose one:
 12
24
36