2. When ordering a pizza you can choose from 6 meat and 9 vegetable toppings. How many different orders can be placed using 5 different toppings if.... a) You must choose exactly 3 vegetable and 2 meat toppings? b) At least one of the toppings must be a vegetable? At of the toppings can be meat?

1. A local restaurant serves tacos for $1 every Tuesday. For each taco, you must choose one filling, salsa, and tortilla. • Filling: Carne Asada, Pollo Asado, Al Pastor, Carnitas, Chorizo, Grilled Fish, Mushroom Salsa: Mild, Medium, Hot • Tortilla: Corn, Flour How many different kinds of tacos can be made?

Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. a) How many ways can this be done, if the order of the choices is relevant? b) How many ways can this be done, if the order of the choices is not relevant?

How did they get the numbers in venn diagram break down step by step