Counting Principle and Set Notation

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

• 3 x 14 = 42

• 3 + 14 = 17

• 14 x 14 x 14 = 2744

• 14 x 13 x 12 = 2184

Tags

CCSS.7.EE.B.3

CCSS.4.OA.A.3

CCSS.3.OA.D.8

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

Tags

CCSS.HSS.CP.B.9

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

• 4 x 4 x 4 x 4 = 256

• 4 x 3 x 2 x 1 = 24

• 4 + 4 + 4 + 4 = 16

• 4 + 3 + 2 + 1 = 10

Tags

CCSS.HSS.CP.B.9

Marissa brought 8 T-shirts and 6 pairs of shorts to summer camp. How many different outfits consisting of a T-shirt and a pair of shorts does she have?

• 8 x 6 = 48

• 8 + 6 = 14

Tags

CCSS.3.OA.A.3

There are 6 different packages available for school pictures. The studio offers 5 different backgrounds and 2 different finishes. How many different options are available?

• 6 x 5 x 2 = 60

• 5 x 2 = 10

• 6 + 5 + 2 = 13

Tags

CCSS.HSS.CP.B.9

The top five runners at the cross-country meet will receive trophies. If there are 22 runners in the race, in how many ways can the trophies be awarded?

• 22 x 21 x 20 x 19 x 18 = 3160080

• 22 x 22 x 22 x 22 x 22 = 5153632

• 5 x 4 x 3 x 2 x 1 = 120

Tags

CCSS.HSS.CP.B.9

A list of all possible outcomes

• sample space
• probability
• odds
• experimental probability

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Which shows the sample space for flipping two coins?

• H, T
• HH, HT, TH, TT
• HH, TT
• Dime, Nickel

Tags

CCSS.HSS.CP.A.1

What is the sample space?

• 6 bears

• orange, green, red, white, yellow

• unlikely

• 2 red bears

Tags

CCSS.7.SP.C.5

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW

Tags

CCSS.HSS.CP.A.1