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Practice for Systematic Counting Quiz

Last updated about 5 years ago

6 questions

2

Question 1

1.

A man has three sports coats, eight ties, and four vests. How many different outfits can he put together? Include all calculations to support your answer.

2

2

5

2

2

Question 2

2.

A coin is tossed eight times. How many different outcomes are there? Include all calculations to support your answer.

Question 3

3.

Radio stations are named using 4 letters (like WJBR, WSTW, etc.). The first letter must be a K or a W. The other three letters have no restrictions. How many different radio station names can be created with this method? Include all calculations to support your answer.

Question 4

4.

A woman is going through a buffet line and intends to choose a main dish, a salad, and a drink. For her main dish she has a choice of spaghetti, lasagna, or ravioli. For her salad she has a choice of garden or Caesar. For her drink she can choose between soda, lemonade, or iced tea.

Draw a tree diagram to illustrate all of the possible meals that can be created. Use your diagram to answer the two questions shown.

Question 5

5.

A certain password consists of 5 digits. The digits may not be repeated. How many passwords can be created? (Recall that a digit is a number from 0-9) Include all calculations to support your answer.

Question 6

6.

A certain account number consists of 7 digits. The first digit may not be a 0 or a 1. The second digit must be odd. The other five digits can be any digit. How many account numbers can be created? Include all calculations to support your answer.