The Fundamental Counting Principle Cards

52 in a deck

4 in your hand

Card 1 - 52 options

Card 2 - 51 options

Card 3 - 50 options

Card 4 - 49 options 52 x 51 x 50 x 49 6497400 To chose one of these {a,b,c} AND to chose one of these {x,y}

Is to chose one of these {ax,bx,cx,ay,by,cy} Hi Mom By Cassandra By Cassandra Weekly

MTH 151-84

-Rebecca Eller- License Plates

3 letters (26 options each)

4 numbers (10 options each) Letter 1 - 26 options

Letter 2 - 26 options

Letter 3 - 26 options

Number 1 - 10 options

Number 2 - 10 options

Number 3 - 10 options

Number 4 - 10 options 26 x 26 x 26 x 10 x 10 x 10 x 10

or

26^3 x 10^4 175760000 Problem 1

How many two digit numbers are there? Problems Problem 2

Aaron, Becca, Chuck, and Dan (A, B, C, and D) are to seat themselves in four adjacent seats (1, 2, 3, and 4) so that A and B are beside each other. How many options do they have? Factorials 0! = 1

1! = 1

2! = 2

3! = 6

4! = 24

5! = 120

6! = 720

7! = 5040

8! = 40320

9! = 362880

10!= 3628800 For any counting number n factorial is given by

n! = n(n - 1)(n - 2)...2 x 1 4! = 4 x 3 x 2 x 1 Problem 3

6! - 3! Problem 4

Lynn Smith is taking thirteen preschoolers to the park. How many ways can the children line up, in single file? First number (1-9) = 9 options

Second number (0-9)= 10 options

9 x 10 = 90

[99 - 10 + 1 = 90] A and B have 3 choices for where to sit (1 and 2, 2 and 3, 3 and 4)

A and B have 2 choices for which side to sit on (A left, or B left)

C and D have 2 choices for which side to sit on (C left, or D left)

First option = 3 choices

Second option= 2 choices

Thrid option = 2 choices

3 x 2 x 2 = 12

6 x 5 x 4 x 3 x 2 x1 = 720

3 x 2 x 1 = 6

720 - 6 = 714 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 6227020800

### Present Remotely

Send the link below via email or IM

CopyPresent to your audience

Start remote presentation- Invited audience members
**will follow you**as you navigate and present - People invited to a presentation
**do not need a Prezi account** - This link expires
**10 minutes**after you close the presentation - A maximum of
**30 users**can follow your presentation - Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

### Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.

You can change this under Settings & Account at any time.

# The Fundamental Counting Principle

For Math Class

by

Tweet