Fundamental Principle of Counting and Permutation

Simon has 4 shirts, 5 pants, and 2-pairs of shoes. How many outfits can he wear?

• 11

• 20

• 40

• 50

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

• 720

• 360

• 120

• 30

The Mathematics club has seven members. How many ways can this club select a president, vice president, and secretary if all members are eligible but no one can hold both position ?

• 18

• 42

• 120

• 210

In how many ways can you arrange 4 potted plants in a row ?

• 4

• 12

• 24

• 36

How many 2-digit numbers can be formed from the numbers 3, 5, 7, 8, and 10 if repetition is allowed ?

• 25

• 125

• 625

• 8400

How many 2-digit numbers can be formed from the numbers 3, 5, 7, 8, and 10 if repetition is NOT allowed ?

• 125

• 120

• 33

• 20

The school canteen offers 4 main dishes, 3 rice, 4 drinks, and 2 desserts. How many possible meals are there ?

• 100

• 96

• 48

• 13

How many different ways can 5 students be seated for a selfie if only 3 seats are available ?

• 60

• 45

• 30

• 15

The licence plates consists of three alphabet letters followed by three digits. How many different licence plates can be made if repetition of letters and numbers are allowed?

(a)  

The licence plates consists of three alphabet letters followed by three digits. How many different licence plates can be made if repetition of letters and numbers are NOT allowed?

(a)