Question

imagine you are the owner of a pizza shop. That offers three different types of crust, seven different toppings and three different cheese.

I NEED TO KNOW HOW MANY DIFFERENT COMBINATIONS THERE ARE/HOW TO GET THE ANSWER.

i don't want the answer i just want to know how to find the answer of how many combinations there are.

Answer 1

so you're only allowed one type of crust, one type of cheese, and one topping?

Answer 2

Just draw a simple tree diagram and you will see how many combinations there'll be

Answer 3

If one of each type is allowed (1 crust, 1 cheese, 1 topping), then

\[\large
\text{Answer} =
\begin{pmatrix}
\text{Number}\\
\text{of}\\
\text{Crusts}
\end{pmatrix}
\times
\begin{pmatrix}
\text{Number}\\
\text{of}\\
\text{Cheeses}
\end{pmatrix}
\times
\begin{pmatrix}
\text{Number}\\
\text{of}\\
\text{Toppings}
\end{pmatrix}
\]

I'm using the counting principle

http://www.mathsisfun.com/data/basic-counting-principle.html