12-6 Combinations

You want one group of 4 students to be selected from 10 students. How many different groups of four could be selected?

(order does NOT matter)

• 210

• 40

• 5040

• 14

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 5 students to form a committee

• Choose the chairperson, secretary and treasurer in a club

You will choose 3 toppings for your sundae out of a list of 15. How many different 3-topping sundaes can be made?

(order does NOT matter)

• 18

• 455

• 45

• 135

You are picking one team of four players from a group of nine players. How many different teams can be made?

(order does NOT matter)

• 3024

• 126

• 36

• 13

How many combinations of 4 letters are possible from the letters A B C D E?

(order does NOT matter)

• 4

• 5

• 20

• 48

A book club offers a choice of 8 books from a list of 12. In how many ways can a member create a set of 8 books?

(order does NOT matter)

• 19958400

• 495

• 96

• 20

Your basketball team has 11 players. How many ways can your coach choose five starting players?

(order does NOT matter)

• 462

• 55440

• 55

• 16

There are fourteen candy bars to choose from at the gas station. How many ways can you choose five of them?

(order does NOT matter)

• 240240

• 2002

• 19

• 70

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

(order does NOT matter)

• 35

• 28

• 840

• 11

Calculate ₈C_5.

(a)