There are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
Combinations:
Combinations defines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given,
Pizza pies with a choice of any of 4 toppings: pepperoni, mushrooms, green peppers, or sausage.
Here we need to find how many different pizzas can you make with anywhere from 0 to 4 toppings.
Here we need to assume that each pizza can have at most 1 serving of each topping.
Here we have four level of toppings like no serving, single serving, double serving and triple serving.
Suppose you had one topping, let's say mushrooms. How many different possible pizzas would there be?
If you understand the setup right, there would be 4: no topping, single mushrooms, double mushrooms, or triple mushrooms.
Similarly, imagine that there are two toppings, mushrooms and sausage.
Then, there are 4 x 4 = 16 different combinations with two items.
We could continue this for a long time.
If you have only sausage, mushroom, pepperoni and onion, then for a total of
=> 4 x 4 x 4 x 4 = 256 combinations.
Therefore, there are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
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