Permutations & Fundamental Counting Principle

4/8/2014

I'm trying something a little different this week. For math class, the 7th graders are taking the CRT's and we are coming up to Spring Break.

I would like my students to come up with real world situations that they can use Permutations and the Fundamental Counting Principle to solve probabilities.

Here is an example: eight students are running for Student Body President and Vice President. How many possible combinations of President and Vice President are possible?
_8_ x _7_ = 56

In permutations, order matters! Once a student has won as president, there are only 7 students left to choose from for vice-president.

Respond to this blog with your own real world example. For extra credit comment on two scenarios that your peers come up with.

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29 Comments

Gavin chung

4/8/2014 03:37:28 am

In a real world situation, it would most likely be world war three, why? Well it depends on which country attacks which country and that has a very, very big sample space. Like USA might attacks Switzerland, and then Switzerland might attacks japan, or something, but I do hope there is no world war three, but if it happened the sample space would be humongous.

Mrs. Calvert

4/10/2014 04:19:40 am

Narrow it down and create specific numbers to work with.

Langley West

4/8/2014 03:40:46 am

In a pie eating competition, there are 9 pies of different flavors the competitors need to eat.

Langley West

4/8/2014 03:48:53 am

Answer: The pies can be eaten in 49852 orders

Mrs. Calvert

4/10/2014 04:20:40 am

Wow! 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1=49852

I think I would only eat my favorite!

Jose Labrada

4/8/2014 03:43:01 am

A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter).

Mrs. Calvert

4/10/2014 04:22:08 am

Jose, this is a good use of combinations. You can have 9 possible combinations because you have 3 sizes of popcorn and 3 choices of toppings. 3 x 3 = 9 combinations

Gavin Chung

4/8/2014 03:43:48 am

Japan, USA, Switzerland, Italy, and France, are the countries I am going with.the probability of japan attacking USA, then USA, attacking Switzerland, then Switzerland attacking Italy, then Italy attacking France, is 1/120 probability.

Gavin Chung

4/8/2014 03:46:54 am

Probability of 5 countries attacking each other Ina certain order to figure it out you multiply 5 by 4 then by 3 also by 2 and finally by 1

Mrs. Calvert

4/10/2014 04:22:47 am

Thank you for making it clearer.

Ryan Dooley

4/8/2014 03:48:01 am

If we were in a real world situation and we had to use permutations to solve all of the probability. Who will win the the next collage basketball championship. There are 10,321,920 possibilities of who could win the collage basketball championship!!😃

Mrs. Calvert

4/10/2014 04:23:39 am

How many teams, games, etc.?

Nicco

4/8/2014 03:48:18 am

LeBron James Is is doing shot practice with 50 basketballs: ten are orange, ten are green, five are red, five are blue and twenty are yellow.

Avy Pinensky

4/8/2014 03:50:51 am

You can use permutations when there are 7 markers to choose from.

Mrs. Calvert

4/10/2014 04:38:29 am

Great Avy! Straight forward and practical application.

Nadia Pane

4/8/2014 03:51:45 am

When you go to a grad party and you have to leave soon, but you want to see the graduate open your present you gave them. What is the probability that she opens your present first then your friends present out of the 15 presents she received?

Mrs. Calvert

4/10/2014 04:40:37 am

1/15 x 1/14 = 1/210
You might be waiting a while...

Ethan Born

4/8/2014 03:51:56 am

One thing that you can use permutations is what continent will go broke next because you can multiply 6x5x4x3x2x1 to get 720 because Antarctica isn't a real continent because it belongs to all of the continents because of the Antarctica treetee. :p

Albert Luevano

4/8/2014 06:15:13 am

There are 24 teenagers looking for the same job but there is only 4 spots open use permutation to find out who can get the job.

Mrs. Calvert

4/10/2014 04:19:07 am

Albert, perfect permutation use! 24 x 23 x 22 x 21=
All of the ways 24 teenagers can get four jobs.

Treve is sexy link

4/8/2014 06:16:45 am

I like real world problems because I can related and they help me understand more than just doing regular problems.

Mrs. Calvert

4/10/2014 04:24:49 am

Give me an example of one!

Cole Campbell

4/8/2014 06:18:14 am

There are 10 types of bacon you get them all in a order, how many combinations could happen

Answer:3628800

Rylie Haynes link

4/8/2014 06:21:27 am

There are 10 fishies in a pond how many times can I pick three?<3

Maciel Lara link

4/8/2014 06:21:53 am

You would use permutation and or combination when deciding which of three concerns you can go to first. Like having 1. one republic, 2. imagine dragons, 3. Lorde. First you can have 1. 2. 3. Then you can have 3. 2. 1. Then 3. 1. 2.

Russell Ramirez

4/8/2014 06:24:46 am

There are 6 elephants in a truck. In how many ways can the 6 elephants fit a truck ?

6x5x4x3x2x1= 720

Karla Hernandez

4/8/2014 06:25:02 am

I'm at the mall and I want to go to my three favorite stores. How many ways can I go to Charlotte Russe, Forever 21, and Ever?
Answer : 6 Ways

Jenna bounds

4/8/2014 06:26:36 am

Ms Calvert is having a race. There are 7 races what are the different positions the racers could be in.

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6/9/2014 06:21:01 pm

Permutations is very important thing in math. Well nice principle and things you shared here.