1. What is the difference between a permutation and combination?
Math I
UNIT QUESTION: How do you use probability to make plans and predict for the future?
Standard: MM1D1-3
Today’s Question:
What is the difference between a permutation and combination?
Standard: MM1D1.b.

2. n is the total and r is the amount chosen
Permutation
An arrangement or listing of objects where order IS important.
n is the total and r is the amount chosen

3. Permutations ORDER MATTERS!
Placement
Examples: assigned seats, winning a race or running a race, 1st place, 2nd place, etc
Positions
Examples: President, Vice President, Secretary, Treasure
Specific job/chore
Examples: Hand out markers, pass out papers, etc

4. Permutations Simplify each expression. a. 12P2 b. 10P4 12 • 11 = 132
c. At a school science fair, ribbons are given for first, second, third, and fourth place, There are 20 exhibits in the fair. How many different arrangements of four winning exhibits are possible?
12 • 11 = 132
10 • 9 • 8 • 7 = 5,040
= 20P4 = 20 • 19 • 18 • 17 = 116,280

5. Permutations Example 6
There are 50 runners in a race. How many different ways can the runners finish in 1st, 2nd, or 3rd?

6. Example 8
A president and vice president are being chosen from a group of 20 people. How many ways can this be done?

7. Example 9
How many ways can you arrange 4 of the letters in the word PANTHER?

8. Example 10
How many ways can you arrange all of the letters in the word FLOWER?

9. Classwork and Homework
Classwork: Complete GO #1 Permutations
Homework: Complete “Did you hear about…” Remember that the counting principles as well as permutations are on it.