Mastering Permutations and Combinations

The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.

• Permutation

• Combination

• Neither

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination

• Permutation

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

• 60

• 120

• 24

• 720

In how many ways can a committee of 3 people be selected from a group of 10 people?

• 120

• 720

• 30

• 120

A password consists of 4 different letters. How many different passwords can be formed using the letters A, B, C, D, E, and F?

• 360

• 720

• 120

• 24

• 210

• 35

• 343

• 5040

If a team of 4 players is to be chosen from a group of 8 players, how many different teams can be formed?

• 70

• 56

• 24

• 32

A student has 6 different books and wants to lend 3 of them to a friend. In how many ways can the student choose the books to lend?

• 20

• 120

• 60

• 15

How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?

• 60

• 120

• 20

• 10

In how many ways can the letters of the word "MATH" be arranged?

• 12

• 24

• 48

• 6