What is the difference between a permutation and combination?

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Acc Math 1 EQ: What is the difference between a permutation and combination?

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Presentation transcript:

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.

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

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

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

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

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

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

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

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.