## anonymous one year ago 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.

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1. jim_thompson5910

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

2. alekos

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

3. jim_thompson5910

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