Question

When ordering a pizza, you have a choice of 3 types of crust: thin crust (T), hand-tossed (H), or deep dish (D); a choice of 2 types of sauces: red (R) or white (W); and a choice of 2 types of toppings: mushroom (M) or onions (O). If you are choosing only one of each, list the sample space in regard to the pizzas (combinations of crust, sauces, and toppings) you could pick from.

Answer 1

We can do a tree-diagram in order to visualize better the sample space

The sample space has 3x2x2=12 combinations

The combinations are:

{TRM, TRO, TWM, TWO, HRM, HRO, HWM, HWO, DRM, DRO, DWM, DWO}