SOLUTION: Suppose you had graduated from high school but did not have enough money to continue your college education. You decided to work temporarily and save for your schooling You applied

Question 1178806: Suppose you had graduated from high school but did not have enough money to continue your college education. You decided to work temporarily and save for your schooling You applied at Mr.
Agustin's restaurant and were hired. After a few days, you noticed that the restaurant business was not doing very well, and Mr. Agustin asked for your opinion. What you noticed was that there was no variety
in the food being served in the restaurant
1. Prepare a list of different choices of food that may be served (soup, meat dishes, fish,
vegetables, fruits, desserts, beverages). Consider health and nutritional values
2. Formulate and solve 2 problems involving permutation and combination concepts in the situation.
Please, I need an answer..
Found 2 solutions by CPhill, ikleyn:
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
Absolutely! Let's address this scenario:
**1. Diverse Food Choices for Mr. Agustin's Restaurant (Considering Health & Nutrition):**
Here's a list of food choices categorized to provide variety and address nutritional needs:
**Soups:**
* **Chicken Noodle Soup:** Classic, comforting, and provides protein.
* **Vegetable Minestrone:** High in fiber and vitamins, a good vegetarian option.
* **Lentil Soup:** Rich in protein and iron, hearty and filling.
* **Butternut Squash Soup:** Creamy, with vitamin A and fiber.
**Meat Dishes:**
* **Grilled Chicken Breast:** Lean protein, versatile.
* **Baked Salmon:** Rich in omega-3 fatty acids, healthy fats.
* **Lean Beef Stir-Fry:** Protein and vegetables, customizable.
* **Turkey Meatloaf:** Leaner alternative to beef meatloaf.
**Fish Dishes:**
* **Baked Cod with Lemon and Herbs:** Light and flaky, low in fat.
* **Grilled Tilapia:** Mild flavor, good source of protein.
* **Shrimp Scampi (with whole-wheat pasta):** Seafood option, can be made healthier.
**Vegetables:**
* **Steamed Broccoli:** High in vitamins C and K, fiber.
* **Roasted Asparagus:** Antioxidants, vitamins, and minerals.
* **Mixed Green Salad:** Customizable, leafy greens, and various vegetables.
* **Sautéed Spinach:** Iron, vitamins, and minerals.
**Fruits:**
* **Fresh Fruit Salad:** Variety of seasonal fruits.
* **Baked Apples with Cinnamon:** Natural sweetness, fiber.
* **Berry Parfait (with yogurt):** Protein and antioxidants.
* **Orange Slices:** Vitamin C.
**Desserts:**
* **Fruit Sorbet:** Light and refreshing.
* **Greek Yogurt with Honey and Nuts:** Protein and healthy fats.
* **Whole-Wheat Apple Crisp (with less sugar):** Whole grains and fiber.
* **Dark Chocolate (small portion):** Antioxidants.
**Beverages:**
* **Water (infused with fruit or herbs):** Hydration.
* **Unsweetened Iced Tea:** Refreshing, low in calories.
* **Freshly Squeezed Juices (limited portions):** Vitamins.
* **Herbal Teas:** Variety of flavors, caffeine-free.
**2. Permutation and Combination Problems:**
**Problem 1 (Permutation):**
* **Scenario:** Mr. Agustin wants to create a daily special that consists of a soup, a meat dish, and a vegetable. He has 3 soup options, 4 meat dish options, and 5 vegetable options. How many different daily specials can he create if the order of the courses matters?
* **Solution:**
* This is a permutation problem because the order matters (soup, then meat, then vegetable).
* Number of permutations = (Number of soup options) * (Number of meat options) * (Number of vegetable options)
* Number of permutations = 3 * 4 * 5 = 60
* **Answer:** Mr. Agustin can create 60 different daily specials.
**Problem 2 (Combination):**
* **Scenario:** A customer wants to create a side dish that consists of 3 different vegetables from the 5 vegetable options available. How many different side dish combinations can the customer create?
* **Solution:**
* This is a combination problem because the order of the vegetables doesn't matter.
* Number of combinations = nCr = n! / (r! * (n-r)!)
* n = 5 (total vegetable options)
* r = 3 (vegetables to choose)
* Number of combinations = 5! / (3! * 2!) = (5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * (2 * 1)) = 120 / (6 * 2) = 120 / 12 = 10
* **Answer:** The customer can create 10 different side dish combinations.

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Such "math problem composers", as this one who created this post,

should be expelled from the profession.

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