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Answer questions 1-3, 5, 8, 10, 12, 14, 15, 20 & 22. Show work.

1) A woman has three skirts, five shirts, and four hats. How many different outfits can she wear if she picks one skirt, one shirt, and one hat for her outfit?

2) How many different five-digit ZIP codes are possible if the digits can be repeated?

3) How many different five-digit ZIP codes are possible if the digits cannot be repeated?

5) A store manager wishes to display six different kinds of laundry soap by lining them up in a row on a shelf. In how many ways can this be done?

8) The call letters of a radio station must have four letters. The first letter must be a K or a W. How many different call letter combinations are possible if letters may not be repeated?

10) How many different four-digit ID tags can be made if repeats are allowed?

12) In how many different ways can the Harry Potter series of books (7 books total) be arranged in a row on a shelf?

14) A coin is tossed 8 times. How many different outcomes are there for this series of 8 flips?

15) Six different colored tiles are available to make a pattern in a row of floor tile. How many possible different 4-color patterns are possible if no colors may be repeated?

20) The Super-Cool Ice Cream Shoppe sells sundaes, cones, or ice cream bars. You will pick either butterscotch or chocolate and you may choose to have it with nuts or without nuts. a) Draw a tree diagram to illustrate the different types of ice cream treats that you could order. b) How could you find the number of outcomes using the Fundamental Counting Principle? c) How many different outcomes are possible?

22) A box contains a $1 bill, a $5 bill, and a $10 bill. Two bills are selected one after the other without replacing the first bill. Draw a tree diagram to show all possible amounts of money that may be drawn.

 

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