Question

at zyon’s mongolian bar - b - que, each customer chooses what will be stir - fried into their dish. the customer has the choice of rice or noodles. next, the customer chooses from beef, chicken, or pork. lastly, the customer chooses either garlic sauce or teriyaki sauce. all three selections are stir - fried together. create a tree diagram showing all the possible dishes that are available to zyon’s mongolian bar - b - que customers. how many possibilities are there?

Explanation:

Step1: Identify number of choices per category

• Rice/Noodles: 2 choices (rice, noodles)
• Meat: 3 choices (beef, chicken, pork)
• Sauce: 2 choices (garlic, teriyaki)

Step2: Apply multiplication principle

Total possibilities = (Choices for rice/noodles) × (Choices for meat) × (Choices for sauce)
Total possibilities = \( 2 \times 3 \times 2 \)

Step3: Calculate the product

\( 2 \times 3 = 6 \); \( 6 \times 2 = 12 \)

Answer:

12