Question

Dom's Pizza Company uses taste testing and statistical analysis of the data prior to marketing
any new product. Consider a study involving three types of crusts (thin, thin with garlic and
oregano, and thin with bits of cheese). Dom's is also studying three sauces, (standard, a new
sauce with more garlic, and a new sauce with fresh basil).
a) Illustrate a tree diagram for all possible combinations.
b) How many combinations of crust and sauce are involved?

Answer 1

So I'm not sure how to work this, so bare with me here. (Anyone if I am wrong feel free to correct me at any given time)

So I wouldn't know what a tree diagram looks like though I'd imagine it looks somewhat of a tree.
So if we're looking for how many different combinations with crust and sauce we can have let's look at it this way.

Starting off with the thin crust we can have:
Thin crust+standard sauce
Thin crust+garlicky sauce
Thin crust+fresh basil


Then we move onto our next type of crust, garlic and oregano(GO for short) crust
GOcrust+standard sauce
GO crust+garlicky sauce
GO crust+fresh basil


Then we move onto the cheesy bitted crust(cheese stuffed)
Cheese stuffed crust+standard sauce
Cheese stuffed crust+garlicky sauce
Cheese stuffed crust+fresh basil

Answer 2

So In total that would be 9 available combinations and I got stuck after that