For dinner, Javier will choose one of three fish options and one of three side dishes. His choices for fish are salmon, trout, and halibut. His choices for side dishes are fries, cooked carrots, or coleslaw.
(a). Draw a tree diagram for the sample space of all dinner combinations.
(b). How many choices for dinner combinations does Javier have?
1.) - Salmon Trout Halibut
/ | \ / | \ / | \
Fries Carrots Slaw F C S F C S
-There is 9 different options, assuming that since its a combination problem and not a sequence problem, order doesn't matter.