# Fundamental Counting Principle by cuiliqing

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```									                                  Fundamental Counting Principle
_________________________________________________________________________________________________
Name: ___________________________________                                               Period: ______

Use the fundamental counting principle to find the total number of outcomes in each
situation.

1. tossing a quarter, a dime, and a nickel

2. choosing scrambled, sunny-side up, or poached eggs with bacon or sausage and
milk, orange juice, or apple juice

3. choosing a card from 20 different cards and spinner a spinner with three equal
sections

4. CLOTHES Beth has 3 sweaters, 4 blouses, and 6 skirts that coordinate. Find the
number of different outfits consisting of a sweater, blouse, and skirt that are
possible. Then find the probability of randomly selecting a particular sweater-
blouse-skirt outfit.

5. Choosing a bagel with one type of cream cheese from the list shown in the table.
Bagels                Cream Cheese
Plain                 Plain
Blueberry             Chive
Cinnamon raisin       Sun-dried tomato
Garlic
6. choosing a number from 1 to 20 and a color from 7 colors.

7. picking a month of the year and a day of the week

8. choosing from a comedy, horror, or action movie each shown in four theaters

9. rolling a number cube and tossing two coins

10. choosing iced tea in regular, raspberry, lemon, or peach flavors, sweetened or
unsweetened, and in a glass or a plastic container

11. A bakery offers white, chocolate, or yellow cakes with white or chocolate icing. There
are also24 designs that can be applied to a cake. If all orders are equally likely, what is the
probability that a customer will order a white cake with white icing in one of these designs?

12. WritePen makes 8 different styles of pens in several colors with 2 types of grips. If the
company makes 112 kinds of pens, how many different colors do they make?

F      7                H       16
G      8                J       1,792
Fundamental Counting Principle
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13. SCHOOL Horacio can choose from 2 geography, 3 history, and 2 statistics classes. Find
the sample space for all possible schedules.

PROBABILITY Find the probability that a spinner with 12 sections numbered 1 to 12 till
stop on each of the following. Write as a fraction in simplest form.

14. an even number

15. a multiple of 4

Order each set of numbers from least to greatest.

16.       27% 1/5         0.22    20.1

17.      19/20 88%         0.85      ¾

Multiply.

18. 3 * 2 * 1

19. 9 * 8 * 7

20. 5 * 4 * 3 * 2

21. 7 * 6 * 5 * 4

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