Combination vs Permutation

Poll

DO NOW: How many ways can I rearrange the letters in GEO to get a unique arrangement?

• 7

• 8

• 6

• 2

​Learning Goal: I am learning how to develop strategies to use permutation and combination to solve real life situations.

Success Criteria:

#1) I can determine use permutation or combination appropriately.

#2) I can determine the probability of an event occuring using permutation or combination.

Permutation vs Combination:

Permutation describes the grouping of items where order of the items will affect the outcome.

Combination is the grouping of items where order of the ites will NOT affect the outcome.

(WRITE THIS ON YOUR PAPER!)

Permutation Example

Permutation ORDER MATTERS

Locker combinations and awards (1st place, 2nd place last place)

Combination Example

Combination ORDER NOT MATTER

The order you make your cereal or choosing a number of people into a group.

Decide whether the following is situation is an example of permutation or combination

(DOES ORDER MATTER OR NOT?)

Poll

Netflix Password

• Permutation

• Combination

Poll

Ordering food from McDonalds

• Permutation

• Combination

Multiple Choice

A phone number

• Permutation

• Combination

Multiple Choice

Picking Top 3 Finalist (Not ranked)

• Permutation

• Combination

Multiple Choice

A combination to a lock

• Permutation

• Combination

Poll

Determine is a permutation or a combination: Determining the number of possibilities 10 people could place either 1st place, 2nd place, 3rd place in a race.

• Permutation

• Combination

Poll

Determine is a permutation or a combination: Shuffling a deck of cards and randomly choosing 5 cards.

• Permutation

• Combination

To determine the number of combinations on calculator

Menu --> Probability (5) --> Combinations (3)

nCr(TOTAL SAMPLE SIZE, GROUPS)

EX: 45 people split into 3 groups

nCr(45, 3)

To determine the number of permutation on calculator

Menu --> Probability (5) --> Permutation (2)

nPr(TOTAL SAMPLE SIZE, GROUPS)

EX: 60 people split into 2 groups

nCr(60, 2)

Question #1) We Do: Show your work on handout.

Sarah has 8 colored pencils that are all unique. She wants to pick three colored pencils from her collection and give them to her younger sister. How many different combinations of colored pencils can Sarah make from 8 pencils?

Question #2) We Do: Show your work on handout.

The Olympics has 12 swimmers competing. How many different ways can first, second, and third occur?

Math Response

YOU DO:

Ms.Naig has a class of 36 students in geometry class. She wants to split into groups of 3. How many different ways can her students form groups?

Type answer here

Correct Answer: 7140

Deg^°

Rad

Math Response

You Do:

The North Dallas track team are competing in the district cross country championship race. There a total of 25 people competing. How many different possibilities can 3 people place 1st, 2nd, or 3rd?

Type answer here

Correct Answer: 13800

Deg^°

Rad

Multiple Choice

You Do: Jacob and Mark are not paying attention in class and instead playing cards in the back. They are playing with a standard 52 card deck. If they can only hold 5 cards in their hand, how many different unique ways can a player get 5 cards?

• 259,8960 ways

• 311,875,200 ways

• 0 ways

• None of the above.

Multiple Choice

You Do: North Dallas High School is hosting a lottery game for their teachers. The game is as follows: In the lottery, each ticket has 5 one-digit numbers 0-9 on it. You win if your ticket has the digits in any order.

What are the chances Ms.Naig wins if she only enters once?

• $$\frac{1}{126}$$

• $$\frac{1}{15,120}$$

• $$\frac{1}{252}$$

• $$\frac{1}{30,240}$$

Multiple Choice

You Do: North Dallas High School is hosting a lottery game for their teachers. The game is as follows: In the lottery, each ticket has 5 one-digit numbers 0-9 on it. You would win only if your ticket has the digits in the required order. What are the chances of winning?

• $$\frac{1}{126}$$

• $$\frac{1}{15,120}$$

• $$\frac{1}{252}$$

• $$\frac{1}{30,240}$$

Create Your Own:

• Go to Google Classroom open the assignment.

• Once finished, complete the DOL on SchoolCity titled "Probability Practice"

Requirements:

To get an A:

• +20: Question 1 is an example of permutation.

• +20: Question 2 is an example of combination.

• +10: The explanation why it is a permutation/combination is explained athe end.

• +10: The numerical solution is presented at the end.

• +10: Each question is presented coherent and complete sentences are used.

• +10: Each question is unique and appropriate.

• +10: Each slide show is presented/formated neatly.