SLIDES - Counting Principles/Permutations

Open Ended

Do Now:

How many ways can Five books with different titles be arranged on a shelf?

Open Ended

How would you go about solving the problem below? Think-Pair-Share

“Choosing from three pairs of jeans and five shirts, how many outfits are possible?”

Multiple Choice

How many different summer holiday plans are possible?

• 60
• 72
• 48
• 84

Multiple Choice

Arihanna is going candy shopping before her movie. She wants to get one sour candy, one chocolate candy, and one sweet candy. In the candy aisle at Walmart there are

• 4 chocolate options,

• 3 sour candy options, and

• 5 sweet candy options.

How many total possibilities are there for Arihanna to choose from?

• 12 total outcomes

• 17 total outcomes

• 48 total outcomes

• 60 total outcomes

Multiple Choice

How do you do the Fundamental Counting Principle?

• You multiply the categories by 2.

• You add all the categories together.

• You add the number of options in each category.

• You multiply the number of options in each category.

Multiple Choice

How many four digit numbers are possible if we only use even numbers that Cannot be repeated?

• 24
• 12
• 36
• 48

Multiple Choice

How many four digit numbers are possible if we only use even numbers?

• 512
• 256
• 64
• 128

Multiple Choice

How many ways can a captain, co-captain, and a manager be selected from a team of 18 players?

• 4,896

• 1,000

• 3,600

• 2,500

Multiple Choice

There are 10 different books. A bookshelf can only hold 6 books in a row. How many ways can 6 of these books be arranged on a bookshelf?

• 720
• 60
• 5040
• 10080

Fill in the Blanks

Multiple Choice

How many different ways can we arrange the letters in the word COMPUTER?   

• 2,880

• 5,040

• 720
• 40,320

Multiple Choice

How many ways are there to arrange 6 different books side by side on a bookshelf?

• 720
• 360
• 840
• 600

Open Ended

How does Factorial Notation make Permutations easier to calculate? Think-Pair-Share

Fill in the Blanks

Simplify

$\frac{7!}{5\left(6-3\right)!}$  

Fill in the Blanks

Use the calculator to determine the value of: $\frac{12!}{6!\times3!}$  . Type your answer without commas.

Multiple Choice

Calculate the number of three-digit numbers that can be formed using the digits 1, 3, 5, 7 and 9 without repetition.

• 60

• 120

• 240

• 945

Math Response

Suppose you have 6 homework assignments to complete one night. In how many different orders can you complete all of the assignments?

Type answer here

Correct Answer: 720

Deg^°

Rad

Multiple Choice

You are picking one team of four players from a group of nine players. How many different teams can be made?

• 3024

• 126

• 36

• 13