Counting Principles and Permutations

How many different 3-letter codes can be formed using the letters A, B, and C if each letter can be used only once in each code?

• 3

• 6

• 9

• 27

If you have 4 shirts and 3 pairs of pants, how many different shirt and pant combinations can you wear?

• 7

• 12

• 4

• 3

How many ways can 5 books be arranged on a shelf?

• 25

• 10

• 120

• 60

A password consists of 2 letters followed by 2 digits. How many different passwords can be formed if repetition is allowed?

• 6760

• 5200

• 67600

• 67600

How many different ways can 3 students stand in a line?

• 3

• 6

• 9

• 12

If you flip a coin and roll a die, how many possible outcomes are there?

• 2

• 6

• 8

• 12

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

• 12

• 16

• 24

• 48

How many 2-digit numbers can be formed using the digits 1, 2, 3, and 4 if no digit is repeated?

• 12

• 16

• 8

• 24

How many ways can 4 people be seated in a row of 4 chairs?

• 16

• 24

• 12

• 8

If you have 3 types of sandwiches and 2 types of drinks, how many different lunch combinations can you make?

• 5

• 6

• 3

• 2