Question

1. For dinner, Tony will choose one of four meat options and one of four side dishes. His choices for meat are salmon, ham, lamb, or chicken. His choices for side dishes are fries, carrots, salad, or potato salad.

(a) Draw a tree diagram for the sample space of all dinner combinations.
(b) How many choices for dinner combinations does Tony have?

Answer 1

16 combinations

Explanation:

draw a tree diagram by starting to write all the meats in a row, salmon, ham, lamb, and chicken.

Then for each meat, draw lines down below for each of the side dishes fries, carrots, salad, and potato salad.

This will create tree diagram

He will have 16 choices, as 4 meats and 4 side dishes. 4 * 4 = 16