AMDM: Unit 2b PRACTICE TEST

Your favorite band just released a new album with 10 songs on it. You want to download songs to your phone, but you only have enough room to download 7. How many different ways can you download 7 songs off of the album?​ (a)  

Was this a permutation or a combination?​ (b)  

• 120
• 604800
• 70
• combination
• permutations
• Fundamental Counting Principle

Tags

CCSS.HSS.CP.B.9

Pamela prefers Social Media A which allows posting multiple pictures to her profile. If Pamela has 6 pictures that she would like to put on her profile page, how many ways can Pamela arrange all 6 pictures in a single row on her page? ​​ (a)  

Social Media B allows only 4 pictures to be posted at a time. How many ways can Pamela choose 4 pictures selected from the 6 pictures mentioned above if the order of the pictures selected does not matter?

​ (b)   ​

• 720
• 1
• 36
• 15
• 360
• 24

Tags

CCSS.HSS.CP.B.9

There are 18 students running for three student council positions: president, vice president, and secretary. Which of the following is the number of ways in which these three positions can be filled by 18 candidates?

• 816

• 54

• 5832

• 4896

Tags

CCSS.HSS.CP.B.9

Which of these situations involves a combination?

• Determining how many different groups of 4 employees can be chosen from 20 employees

• Determining how many different seating charts can be made placing 9 people around a table

• Determining how many different ways 12 runners can be assigned lanes on a track for a preliminary race

• Determining how many different 4-letter passwords can be made using the letters in the word "pencil"

Tags

CCSS.HSS.CP.B.9

A certain type of combination lock has 6 dials. The first 3 dials each have settings for all the digits 0 through 9, and the last 3 dials has settings for all the 26 capital letters of the alphabet. A combination consists of one setting from each of the dials. How many different combinations are possible?

• 17,576,000

• 11,232,000

• 4212

• 3,124,550

Tags

CCSS.HSS.CP.B.9

To solve a Permutation I would use the following:​ (a)  

• outcome of event 1 * outcome of event 2, etc

Tags

CCSS.HSS.CP.B.9

To solve the Fundamental Counting Principle, I would use the following:​ ​ (a)  

• outcome of event 1 * outcome of event 2, etc

Tags

CCSS.HSS.CP.B.9

To solve a combination I would use the following:​ ​ ​ (a)  

• outcome of event 1 * outcome of event 2, etc

Tags

CCSS.HSS.CP.B.9

A group of 20 people are going to the movies. 2 people are selected at random to get in free. Part A Is this a Permutation, Combination or Fundamental Counting Principle?​ (a)   ​

Part B: How many possible outcomes are there?  Show the equation you use and answer for full credit.   ​ (b)  

• Combination
• permutation
• Fundamental Counting Principle

Tags

CCSS.HSS.CP.B.9

A group of 18 people are bowling. An award is given to the highest scorer and lowest scorer. Part A: Is this a permutation, combination, or fundamental counting principle?​ (a)  

Part B: How many possible outcomes are there?  Show the equation you use and answer.​ (b)  

• Permutation
• combination
• fundamental counting principle

Tags

CCSS.HSS.CP.B.9