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Pre- Calculus 2. Today’s Agenda. Due TODAY: HW # 49 Handout – Permutations Due TOMORROW: HW # 50 Handout – Intro to Combinations. 1. Do Now. Notes: Combin ations. 3. Classwork. 4. Summary. SWBAT…. Define a combin ation Calculate the number of combinations. permutations.
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Pre-Calculus 2 Today’s Agenda Due TODAY:HW #49 • Handout – Permutations • Due TOMORROW: HW #50 • Handout – Intro to Combinations • 1. Do Now • Notes: • Combinations 3. Classwork 4. Summary SWBAT… • Define a combination • Calculate the number of combinations
permutations Apermutationis an arrangement of some or all of the objects from a set, without replacement. The number of permutations of nobjects chosen r at a time is: What the heck does that mean?
Permutations Scoop 1 Scoop 2 Scoop 3 If order matters, how many different kinds of ice cream cones are possible if the choices: Chocolate Vanilla Strawberry? Assume you cannot have two scoops of the same flavor. Chocolate Chocolate Vanilla Vanilla Strawberry Strawberry Vanilla Strawberry Chocolate Strawberry Vanilla Chocolate Strawberry Vanilla Strawberry Chocolate Chocolate Vanilla
Permutations If order matters, how many different kinds of ice cream cones are possible if the choices: Chocolate Vanilla Strawberry? Assume you cannot have two scoops of the same flavor. There are 6 different ice cream cones
Permutations What if there were 10 flavors to choose from? Assume you cannot have two scoops of the same flavor. There are 720 different ice cream cones
COMBINations Acombinationis a grouping of some or all of the objects from a set, without regard to order. The number of combinations of nobjects chosen r at a time is: What the heck does that mean?
Combinations If order does not matter, how many combinations of 3 different flavors are possible if there are 10 flavors to choose from? Assume you cannot have two scoops of the same flavor. There are 120 different ice cream cones