Question

selecting one of five proteins (beef, poultry, pork, fish, or tofu)
selecting one of four vegetables (broccoli, corn, cauliflower, or potatoes)
selecting one of three additional sides (pasta, soup, or garlic bread)
how many total unique dinner options does the restaurant offer if you must choose one protein, one vegetable, and one side?
a 240
b 12
c 27
d 60

Explanation:

Step1: Identify choices per category

Proteins: 5 options, Vegetables: 4 options, Sides: 3 options.

Step2: Apply multiplication principle

Total options = Proteins × Vegetables × Sides = \( 5 \times 4 \times 3 \)

Step3: Calculate the product

\( 5 \times 4 = 20 \), then \( 20 \times 3 = 60 \)

Answer:

D. 60