FPC Assessment

John has 4 different shirts, 3 different pairs of pants, and 2 pairs of shoes. How many different outfits can he create if an outfit consists of one shirt, one pair of pants, and one pair of shoes?

• 9

• 12

• 24

• 36

Answer explanation

4×3×2=24

A restaurant offers 5 appetizers, 8 main courses, and 3 desserts. How many different meal combinations are possible if a meal consists of one appetizer, one main course, and one dessert?

• 120

• 90

• 160

• 200

Answer explanation

5 × 8 × 3 = 120

A school committee consists of a president, a vice president, and a secretary. There are 6 candidates available for each position. If one person can hold only one position, how many different ways can the positions be filled?

• 120

• 216

• 90

• 30

Answer explanation

6 × 5 × 4 = 120

A license plate consists of 2 letters followed by 3 digits. If each letter can be any of the 26 English alphabet letters and each digit can be any of the 10 digits (0-9), how many different license plates can be formed?

• 26,000

• 67,600

• 676,000

• 1,000,000

Answer explanation

26 × 26 × 10 × 10 × 10 = 676,000

An ice cream shop offers 5 flavors, 3 types of cones (waffle, sugar, and cup), and 4 toppings. How many different ice cream cones can be made if a customer selects one flavor, one cone, and one topping?

• 90

• 60

• 30

• 20

Answer explanation

• Choices for flavors = 5

• Choices for cones = 3

• Choices for toppings = 4

5 × 3 × 4 = 60

An ATM requires a 4-digit PIN, where each digit can be 0-9. How many different PINs are possible if digits can be repeated?

• 1,000

• 10,000

• 100,000

• 1,000,000

Answer explanation

• Each digit has 10 choices.

• The total number of PINs:

  10 × 10 × 10 × 10 = 10,000