At lamppost pizza there are four pizza toppings: pepperoni, sausage, mushrooms, and anchovies. when you order a pizza you can have as few or as many toppings you want from the above list. you can also choose to have none of the above. how many different kinds of pizza could you order?
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You could order 16 different kinds of pizza.

Step-by-step explanation:

You have those following toppings:

-Pepperoni

-Sausage

-Mushrooms

-Anchovies

The order is not important. For example, if you choose Sausage and Mushrooms toppings, it is the same as Mushrooms and Sausage. So we have a combination problem.

Combination formula:

A formula for the number of possible combinations of r objects from a set of n objects is:

How many different kinds of pizza could you order?

The total T is given by

is the number of pizzas in which there are no toppings. So

is the number of pizzas in which there are one topping is a combination of 1 topping from a set of 4 toppings. So:

is the number of pizzas in which there are two toppings is a combination of 2 toppings from a set of 4 toppings. So:

is the number of pizzas in which there are three toppings is a combination of 3 toppings from a set of 4 toppings. So:

is the number of pizzas in which there are four toppings. So

Replacing it in T

You could order 16 different kinds of pizza.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc