Counting Principle Easy

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

• 40320

• 1

• 64

• 8

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

• 720

• 36

• 100

• 500

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options

• 3 shirt options, 2 pants options, and 2 shoe options

• 2 shirt options, 3 pants options, and 1 shoe option

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

• 4096

• 24

• 1296

• 10

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12

• 7

• 223

• 64

Shoppers in a large shopping mall are categorizes as male or female, over 40 or under 40, and cash or credit card shoppers. In how many ways can shoppers be categorized?

• 160

• 6

• 8

• 16

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

• 2

• 4

• 6

• 8

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19

• 84

• 60

• 210

Three students are scheduled to give oral reports on Monday. In how many ways can their presentations be ordered?

• 3 x 2 x 1 = 6

• 3 x 3 x 3 = 27

• 3 + 3 + 3 = 9

• 3 + 2 + 1 = 6

In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?

• 5 x 4 x 3 x 2 x 1 = 120

• 5 x 5 x 5 x 5 x 5 = 3125

• 26 x 26 x 26 x 26 x 26 = 11881376

• 5 + 5 + 5 + 5 + 5 = 25