Combinations Worksheet With Answers (Page 3 of 4) in pdf

Combinations Worksheet With Answers Page 3

Evaluate each expression.

a. C(5, 3)

b. C(12, 5)

c. C(3, 2) x C(8, 3)

A class has 12 students. Three of the students are chosen to attend a mathematics

convention.

a. How many different groups can be chosen if all three can attend?

b. How many different groups can be selected if one is the chosen representative, one is the

first alternative, and one is the second alternative?

A tire track contains 23 tires, all of the same size. A customer buys four. How many

different selections are possible?

Out of a class of 20 students, 5 are selected to attend a Math League competition. How

many selections are possible?

A hockey team has 17 players. Six of the players are selected, at random, to attend a

summer hockey school. In how many different ways can the players be selected?

10.

At a customer service counter, the customers usually take a numbered ticket from a machine

so that they are in order. On one day, however, the machine is broken. The clerk has eight

customers.

a. In how many different ways can the eight customers be served?

b. In how many ways can the clerk serve the first four customers?

11.

Lotteries sometimes use “scratch and win” cards. These are

cards in which a number of prize boxes are hidden and can be

revealed by scratching away a waxy coating. If all of the

revealed prize boxes match, you win a prize. Suppose that on

such card contains eight prize boxes and you are to reveal any

four. In how many ways can you do this?

12.

Explain why a combination lock would be more correctly referred to as a “permutation”

lock.

Combinations Worksheet With Answers Page 3