Counting principle review

A restaurant offers 5 choices for appetizers, 8 choices for main courses, and 3 choices for desserts. How many different three-course meals can be ordered?

• 16

• 40

• 120

• 160

How many different license plates can be formed if each plate consists of 3 letters followed by 2 digits, assuming that repetition of letters and digits is allowed?

• 17,576,000

• 78,000

• 32,760

• 6760

A password consists of 4 characters. The first character must be a letter (A-Z), and the remaining three characters must be digits (0-9). How many different passwords can be created?

• 26,000

• 10,400

• 720

• 6760

In how many ways can a president, vice-president, and secretary be chosen from a club with 10 members, assuming that no member can hold more than one office?

• 1000

• 720

• 120

• 30

A coin is tossed 4 times. How many different sequences of heads and tails are possible?

• 4

• 8

• 16

• 32

A multiple-choice test has 5 questions, and each question has 4 possible answers. How many different ways can a student answer all the questions?

• 20

• 1024

• 625

• 120

How many different outfits can be formed from 6 shirts, 4 pairs of pants, and 3 pairs of shoes?

• 13

• 72

• 24

• 144

A lock has a 3-digit code, where each digit can be any number from 0 to 9. How many different possible codes are there?

• 30

• 100

• 720

• 1000

How many different ways can the letters in the word 'MATH' be arranged?

• 4

• 12

• 24

• 120

A survey asks participants to answer yes or no to three different questions. How many different ways can a participant respond to the survey?

• 3

• 6

• 8

• 9