Mastering Permutations and Combinations

What is 5! (5 factorial)?

• 100

• 24

• 120

• 60

Calculate the number of ways to arrange 4 books on a shelf.

• 24

• 30

• 16

• 12

How many ways can you choose 3 fruits from a basket of 10?

• 90

• 60

• 120

• 150

If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed?

• 123880

• 345078

• 175760

• 675433

What is the value of 7P3 (permutations of 7 taken 3 at a time)?

• 42

• 210

• 504

• 120

In how many ways can 5 students be seated in a row?

• 120

• 60

• 30

• 240

Calculate the number of combinations of 6 items taken 2 at a time.

• 20

• 5

• 10

• 15

If a committee of 4 is to be formed from 10 people, how many different committees can be formed?

• 150

• 210

• 300

• 180

What is 8C4 (combinations of 8 taken 4 at a time)?

• 84

• 28

• 56

• 70

How many different ways can you arrange the letters in the word 'MATH'?

• 20

• 16

• 12

• 24