Counting and Probability Quiz

How many different license plates can be created if each plate has 3 letters followed by 4 numbers?

• 175760000

• 17576000

• 1757600

• 17576001

In how many ways can a committee of 3 people be selected from a group of 10?

• 10

• 120

• 30

• 45

A pizza place offers 5 different toppings. How many ways are there for you to order a 3 topping pizza?

• 15

• 60

• 20

• 10

If there are 8 people in a race, how many different ways can they finish in first, second, and third place?

• 24

• 336

• 720

• 120

If there are 10 students in a class and the teacher wants to choose a group of 4 students to work on a project, how many different groups can be formed?

• 40

• 24

• 15

• 210

A bag contains 4 red marbles, 6 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the approximate probability that all three marbles drawn will be green?

• 0.044

• 0.0022

• 0.0044

• 0.022

A bag contains 4 red marbles, 6 blue marbles and 5 green marbles. If 4 marbles are drawn out of the bag, what is the approximate probability that 2 are blue and 2 are green?

• 0.044

• 0.011

• 0.0659

• 0.1099

Juan has three blue shirts, two green shirts, seven red shirts, five pairs of denim pants, and two pairs of khaki pants. How many different outfits consisting of one shirt and one pair of pants are possible?

• 19

• 84

• 130

• 420

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Five students, Caroline, Ashley, Malika, Gianna, and Lily, line up one behind the other. How many different ways can they stand in line?

• 60

• 5

• 25

• 120