Fundamental Counting Principle and Permutations

On a 6-sided die, which is more likely?

• Rolling an odd number
• Rolling an even number
• They are both equally likely.

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from if you get to pick one thing from each category?

• 32
• 192
• 40,320
• 51,200

Tags

CCSS.7.NS.A.2

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

• fundamental counting principle
• experimental probability
• theoretical probability
• tree diagram

Tags

CCSS.7.SP.C.8

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

Tags

CCSS.7.EE.B.3

In how many ways can 3 different vases be arranged on a tray?
 

• 3
• 9
• 6
• 12

Tags

CCSS.HSS.CP.B.9

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

Tags

CCSS.HSS.CP.B.9

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0? Digits can repeat.

• 11,424,400

• 10,967,424

• 9000

• 90,000

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23
• 840
• 42
• 3,628,800

Tags

CCSS.HSS.CP.B.9

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Tags

CCSS.HSS.CP.B.9