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1 |
If there are 6 ways to do one thing, 5 ways to a second thing, and 4 ways to do a third thing. How many different ways can the three things be chosen? |
120 |
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2 |
A student takes a 20 item true-false test. In how many different ways can the items be answered if the student answers every question? |
40 |
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3 |
Suppose you roll a die and flip a coin |
12 |
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4 |
A new car comes with 2 or 4 doors, 6 or 8 cylinder engine, manual or automatic transmission, and five different colors |
40 |
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5 |
Suppose a coin is flipped 5 times |
32 |
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6 |
A restaurant offers three sizes of pizza, two types of crust, and five toppings. How many possible combinations of pizza with one topping are there? |
30 |
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7 |
Eight teams are competing in a baseball playoff. In how many different ways can the baseball teams finish the competition? |
40320 |
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8 |
You have a choice of 3 crusts, 4 cheeses, and 5 meat toppings. . How many different pizzas with one crust, one cheese and one meat can you choose? |
60 |
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9 |
A new car comes with 2 or 4 doors, 6 or 8 cylinder engine, manual or automatic transmission, and four different colors |
32 |
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10 |
Suppose a coin is flipped 6 times |
64 |
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11 |
A baseball team has five pitchers and three catchers. How many different batteries (a pitcher and a catcher) are possible? |
15 |
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12 |
A test that has five True/False questions. In how many ways can you answer the whole test? |
32 |
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13 |
How many different cars can you get from two styles and five different colors? |
10 |
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14 |
An ice cream parlor features 10 flavors and 6 toppings, in 3 sizes. How many different sundaes can be made? |
180 |
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15 |
A die is rolled five times |
7776 |
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16 |
How many different outfits can be made from two pants, three shirts, and four sweaters? |
24 |
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17 |
How many different outfits can be made from three pants, three shirts, and four sweaters? |
36 |
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18 |
How many different cars can you get from two styles and four different colors? |
8 |
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19 |
A die is rolled three times |
216 |
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20 |
How many different seating charts can be made with 6 students? |
720 |
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21 |
A restaurant offers three sizes of pizza, two types of crust, and four toppings. How many possible combinations of pizza with one topping are there? |
24 |
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22 |
An ice cream parlor features 12 flavors and 8 toppings, in 3 sizes. How many different sundaes can be made? |
288 |
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23 |
Eight teams are competing in a baseball playoff. In how many different ways can 3 of the baseball teams finish first, second, and third? |
336 |
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24 |
Find the number of possible combinations if there are 4 shirts, 6 skirts and 4 pairs of shoes. |
96 |
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25 |
Suppose a coin is flipped 4 times |
16 |
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26 |
A die is rolled four times |
1296 |
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27 |
How many ways can you order a meal if you have two choices for a drink (coffee or milk), three main courses to choose from (chicken, beef, or fish) and two desserts (ice cream or cake) ? |
12 |
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28 |
There are 6 people in a race. In how many ways can they finish first, second or third? |
120 |
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29 |
How many ways can six different books be positioned on a book shelf? |
720 |
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30 |
A die is rolled two times |
36 |
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31 |
A new car comes with 2 or 4 doors, 6 or 8 cylinder engine, manual or automatic transmission, and six different colors |
48 |
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32 |
Suppose you roll a 6-sided die and draw a card from a deck of 52 cards. |
312 |
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33 |
A test that has six True/False questions. In how many ways can you answer the whole test? |
64 |
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34 |
We can pick out one type of lettuce from 2 choices, one vegetable from 4 choices and one dressing from 6 choices? |
48 |
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35 |
How many different cars can you get from two styles and three different colors? |
6 |
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36 |
Suppose a coin is flipped 2 times |
4 |
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37 |
Find the number of possible combinations if there are 3 shirts, 5 skirts and 4 pairs of shoes. |
60 |
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38 |
Suppose a coin is flipped 3 times |
8 |
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39 |
Eight sprinters will run the 100-yard dash. How many ways can gold, silver, and bronze medals be awarded? |
336 |
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40 |
We can pick out one type of lettuce from 2 choices, one vegetable from 3 choices and one dressing from 5 choices? |
30 |
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41 |
You want to buy a T-shirt. The store offers 4 different colors, 3 different sizes and 2 different neck designs. How many choices do you have? |
24 |
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©Ms. Garcia Math |
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Counting Principle (multiplication principle) |
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You can calculate the chances of two or more independent events by multiplying the chances of each event.
3 x 2 x 2 = 12 |
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Find the number of possible outcomes given each set of information |
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