A. EV Use the fundamental counting principle in finding the number of possible given the following situations. 1. How many three-letter combinations can be made from R, P, and A? 2. 3. 4. 5. 6. A restaurant's menu includes pancakes, waffles, and home fries. For drinks, they have coffee, hot chocolate, and tea. How many different choices of food and drinks can a customer have? Camille has 7 blouse 2 skirts, 3 pairs of short pants and 5 pairs of jeans. How many different outfits can he wear, assuming that he always wears a belt? Doctor Baisa is going to make his rounds in the hospital with his 8 patients. How many different ways can she make her rounds if she visits each patient only once? The class of 5 - Masikap will be having their field trip. They are going to a museum, zoo, resort, bread factory and toy factory. How many possible itineraries are there? A cinema sells 3 sizes of popcorns (small, medium, and large) with 3 choices of toppings (cheese, butter, barbeque). How many possible ways can a bag of popcorn be purchased?

Question

A. EV Use the fundamental counting principle in finding the number of possible given the following situations. 1. How many three-letter combinations can be made from R, P, and A? 2. 3. 4. 5. 6. A restaurant's menu includes pancakes, waffles, and home fries. For drinks, they have coffee, hot chocolate, and tea. How many different choices of food and drinks can a customer have? Camille has 7 blouse 2 skirts, 3 pairs of short pants and 5 pairs of jeans. How many different outfits can he wear, assuming that he always wears a belt? Doctor Baisa is going to make his rounds in the hospital with his 8 patients. How many different ways can she make her rounds if she visits each patient only once? The class of 5 - Masikap will be having their field trip. They are going to a museum, zoo, resort, bread factory and toy factory. How many possible itineraries are there? A cinema sells 3 sizes of popcorns (small, medium, and large) with 3 choices of toppings (cheese, butter, barbeque). How many possible ways can a bag of popcorn be purchased?​

ruseelkhalifa · Answer

1. How many three-letter combinations can be made from R, P, and A?Using the fundamental counting principle, we multiply the number of choices for each letter. For three-letter combinations, there are three choices for each letter:Number of combinations = 3 * 3 * 3 = 272. A restaurant's menu includes pancakes, waffles, and home fries. For drinks, they have coffee, hot chocolate, and tea. How many different choices of food and drinks can a customer have?Using the fundamental counting principle, we multiply the number of choices for each category. For food, there are three choices (pancakes, waffles, and home fries), and for drinks, there are three choices (coffee, hot chocolate, and tea):Number of different choices = 3 * 3 = 93. Camille has 7 blouses, 2 skirts, 3 pairs of short pants, and 5 pairs of jeans. How many different outfits can she wear, assuming that she always wears a belt?Using the fundamental counting principle, we multiply the number of choices for each category. For blouses, there are 7 choices, for skirts, there are 2 choices, for short pants, there are 3 choices, and for jeans, there are 5 choices. Since Camille always wears a belt, the number of outfits is determined by multiplying the choices for the other categories:Number of different outfits = 7 * 2 * 3 * 5 = 2104. Doctor Baisa is going to make her rounds in the hospital with her 8 patients. How many different ways can she make her rounds if she visits each patient only once?Using the fundamental counting principle, we multiply the number of choices for each patient. Since each patient can only be visited once, the number of different ways to make rounds is determined by multiplying the choices for each patient, starting from 8 and decreasing with each patient visited:Number of different ways = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,3205. The class of 5 - Masikap will be having their field trip. They are going to a museum, zoo, resort, bread factory, and toy factory. How many possible itineraries are there?Using the fundamental counting principle, we multiply the number of choices for each destination. Since each destination is visited once, the number of different itineraries is determined by multiplying the choices for each destination, starting from 5 and decreasing with each destination visited:Number of possible itineraries = 5 * 4 * 3 * 2 * 1 = 1206. A cinema sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (cheese, butter, barbeque). How many possible ways can a bag of popcorn be purchased?Using the fundamental counting principle, we multiply the number of choices for each category. For popcorn size, there are 3 choices, and for toppings, there are 3 choices. The number of possible ways to purchase popcorn is determined by multiplying the choices for each category:Number of possible ways = 3 * 3 = 9

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A. EV Use The Fundamental Counting Principle In Finding The Number Of Possible Given Th…

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