manuella likes pepperoni, mushroom, and extra cheese on her pizza. how many different pizzas can she order with one, two, or all three of these toppings?
seven
three with one top
three with 2 top
one with three top
To find the number of different pizzas Manuella can order with one, two, or all three toppings, we can use combinatorics.
First, let's count the number of options for each topping individually. Manuella can choose to have pepperoni or not, which gives us 2 options. Similarly, she can also choose to have mushrooms or not, resulting in another 2 options. Lastly, Manuella can choose to have extra cheese or not, giving us 2 more options.
To calculate the total number of pizza combinations, we multiply the number of options for each topping together. In this case, it would be 2 (options for pepperoni) × 2 (options for mushrooms) × 2 (options for extra cheese) = 8.
Therefore, Manuella can order 8 different pizzas by considering all possible combinations of one, two, or all three toppings.