Final answer:
You can order 150 different types of pizzas.
Step-by-step explanation:
To calculate the number of different types of pizzas you can order, you need to multiply the number of options for each topping category. In this case, you want 2 vegetable toppings and 1 meat topping. Since there are 6 vegetable toppings to choose from, you have 6 options for the first vegetable topping and 5 options for the second, making a total of 6 * 5 = 30 options. For the meat topping, there are 5 options. Multiplying the two categories gives us 30 * 5 = 150 different types of pizzas you can order.