Fundamental Principle of Counting

: A prospective buyer of a new car can choose between manual or automatic transmission and can also choose from 4 colors: red, blue, pink or green. How many different choices does the buyer have?

• 8 choices

• 16 choices

• 32 choices

• 40 choices

For your morning snack, you may choose from coffee, milk or juice.

You also have two

choices for sandwich:

ham or tuna.

How many possible

snacks are there?

• 6

• 12

• 18

• 24

A pizza can be ordered with 3 choices of size (small, medium, or large), 4 choices of crust

(thin, thick, crispy, or regular), and 5 choices

of toppings (beef, bacon, pepperoni, cheese

or mushroom). How many one-topping pizzas

can be ordered?

• 60 pizzas

• 600 pizzas

• 360 pizzas

• 120 pizzas

AJ bag factory manufactures ladies bags

in 8 styles, 6 colors and 4 sizes.

How many different bags are available?

• 16 bags

• 192 bags

• 48 bags

• 102 bags

A witness to a hit-and-run accident told the police

that the plate number of the suspect’s car contained

the letters X L followed by a different letter, and then

followed by three digits, the first of which is 4.

The witness cannot recall the last 2 digits, but is

certain that all 3 digits are different.

Find the maximum number of car registrations that

the police may have to check.

• 1,820 registrations

• 1,700 registrations

• 1,278 registrations

• 1,728 registrations

In how many ways can a clown distribute 10 balloons with different colors to 5 children if each child gets only one balloon?

• 5040 ways

• 30,240 ways

• 40,320 ways

• 50 ways

How many 11-digit cellphone numbers can be formed if each begins with 0917?

• 10,000,000

• 1,000,000

• 10,000

• 1,000

A car license plate consists of any three

letters followed by any three digits.

How many possible license plates are there?

• 15,570,000 license plates

• 17,576,000 license plates

• 11,232,000 license plates

• 11,323,000 license plates

If there are 7 doors providing access to

St. La Salle Hall, in how many ways can

a person enter the hall by one door and

leave by a different door?

• 28

• 14

• 42

• 49

You are taking a multiple-choice

test with 10 questions, each has

four choices. In how many ways

can you mark your answers?

• 10,048,576 ways

• 100 ways

• 10, 000 ways

• 1,048,576 ways