3 types of crust thin hand tossed deep

3 types of crust (thin, hand tossed, deep dish) 4 toppings (pepperoni, ham, onions, green peppers) How many different pizzas can be ordered with 1 crust and 1 topping?

CP Algebra 2 10. 1: Apply the Counting Principle and Permutations Before: You counted the number of different ways to perform a task. Now: _____________________________________ Why? : So you can find numbers of racing outcomes.

Using a Tree Diagram to Count the Number of Ways a Perform a Task • A sporting goods store offers 3 types of snowboards (all-mountain, freestyle, and carving) and 2 types of boots (soft and hybrid). How many choices does the store offer for snowboarding equipment?

Fundamental Counting Principle: Another way to __________________ • Two Events: If one event can occur in m ways and another event can occur in n ways, then _____________________ • Three of More Events: The fundamental counting principle can be extended to three or more events. For example, if three events can occur in m, n, and p ways, then ________________________________________

• Permutations: An __________________________________ Example: 6 permutations of the letters A, B, and C _____, ______, ______ • Factorial: ________________________________________ Symbol: ____

• Permutation of n Objects Taken r at a Time • The number of permutations of r objects taken from a group of n distinct objects is denoted by n. Pr and is given by this formula: • __________________

• Permutation with Repetition • The number of distinguishable permutations of n objects where one object is repeated s 1 times, another is repeated s 2 times, and so on, is given by the formula: • ___________________