1. COMBINATIONS Factorials help visualize placeholders Example: You can choose up to 5 different ice cream toppings. What is the total number of possibilities (without repeating toppings)? TOPPINGS: Hot Fudge Caramel Sprinkles Nuts Oreo NOTE : 0! =

2. COMBINATIONS Definition: Example: There are 3 books on a table, a Math book (M), a Chemistry book (C), and an English book (E). Suppose you can buy any 2 books. LIST THE POSSIBILITIES:

3. COMBINATIONS Formula:

4. 1.) You would like to choose 2 toppings to put on your ice cream. How many ways can you select 2 ice cream toppings from 5 different ice cream toppings?

5. 2.) You are making a pizza. There are 6 different toppings, and you have to choose 4 toppings. How many combinations are possible?

6. 3.) How many ways can you select a committee of 3 people from a group of 7 candidates?