Answer with solution

Solving Problems in Lesson Permutations using the Fundamental Counting Principle This lesson is about solving problems involving permutations. This will require the knowledge and skill of the basic counting technique called the Fundamental Counting Principle. Prior Knowledge In this lesson, it is relevant to know the basic operation in Mathematics especially the multiplication and addition. I think you already mastered it when you were in your elementary level. The lesson is not just multiplying and adding all the numbers but also comprehending first the problems before performing the operations. Presentation of the New Lesson Activity 1: Find Me Interesting! 1. In how many ways can four-letter word CODE be arranged its letters 3 at a time? Solution: Using Reasoning There are 3 positions to be filled. We write the horizontal marks: On each horizontal mark, we write the number of choices we have in filling up the said position. There are 4 choices for the first position and 3 choices left for the second position. NTo test if you understand the examples above, answer the activity below. You can do this! Activity 2: Find Me Out! Answer each permutation completely: Show your solutions to the other sheets given. 1. A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once? 2. In a town fiesta singing competition with 10 contestants, in how many ways can the organizer arrange the first three singers? 3. In how many ways can 5 motorcycles be parked if there are 7 available parking spaces? 4. Ten swimmers join a swimming competition. In how many ways can they be arranged as first, second, and third placers? Concept Development Fundamental Counting Principle Defined Fundamental counting principle states that activity A can be done in n, ways, activity B can be done in no ways, activity c in ne ways, and so on, then activities A, B, C can be done simultaneously in n, X n2 X ng ... Ways.Overview This lesson is about distinct or distinguishable permutations and circular permutations. With the dissimilar activities or exercises being furnished in this module, may you find the material challenging and engaging as it develops your critical-thinking and problem-solving skills. Enjoy reading with learning and solving every exercise and do not doubt to go back if you miss some items. Prior Knowledge Answer Me: In how many distinguishable permutations does the word PHILIPPINES have? How many ways can you arrange 7 people seated in a circular table? Find out the answer to these questions while studying this lesson and discover its application