PPT-Permutations vs. Combinations

Permutations vs Combinations Warm up Group Study You have 5 kinds of wrapping paper and 4 different bows How many different combinations of paper and a bow can you have Permutation pg681 Alg1. Definition of Combination. An . arrangement. . of objects in which the . order. . of selection . does NOT matter. .. . Ex: You have to visit three out of your four friends houses: Andrew (A), Betty (B), Carlos (C), Dave (D). What are the different ways to select the 3 houses to visit?. Section 6.3. Section Summary. Permutations. Combinations. Combinatorial Proofs. Permutations. Definition. : A . permutation. of a set of distinct objects is an ordered arrangement of these objects. An ordered arrangement of r elements of a set is called an . Urn models. We are given set of n objects in an urn (don’t ask why it’s called an “. urn. ” - probably due to some statistician years ago) .. We are going to pick (select) r objects from the urn in. Objective. : . To find the counts of various combinations and permutations, as well as their corresponding probabilities. CHS Statistics. Warm-Up. Alfred . is trying to find an outfit to wear to take Beatrice on their first date to Burger King. How many different ways can he make an outfit out of this following clothes:. Permutations with Repetition. Theorem 1: . The number of . r-permutations. of a set of . n. objects with repetition allowed is . n. r. . .. Example 1:. How many strings of length . r. can be formed from the English alphabet?. What is a permutation?. An arrangement of objects or events in which the order is important . . You can use a list to find the number of permutations of a group of objects.. Example #1. The conductor of a symphony orchestra is planning a concert titled “An Evening with the Killer B’s.” The concert will feature music by Bach, Beethoven, Brahms, and Bartok. In how many different ways can the conductor program each composer’s music?. Other Counting Tools: Factorials. MATH 110 Sec 12-3 Lecture: Permutations and Combinations . Other Counting Tools: Factorials. Sometimes we are interested in counting the number of different arrangements of a group of objects.. DM. 13. The Fundamental Counting Theory. A method for counting outcomes of multi-stage processes. If you want to perform a series of tasks and the first task can be done in (a) ways, the second can be done in (b) ways, the third can be done in (c) ways, and so on, then all the tasks can be done in a x b x c…ways . Theoretical Probability. Question #1. Find the theoretical probability . of . rolling . a 2 or 3.. Question #2. A bag contains 36 red, 48 green, . 22 yellow, and . 19 purple blocks. You pick one block from the bag at random. Find the theoretical probability. . Discrete Structures, Fall 2011. Permutation . vs. Combination. Permutations. Combinations. Ordering of elements from a set. Sequence does matter. 1 2 3 is not the same as 3 2 1. Collection of element from a set. AII.12 The student will compute and distinguish between permutations and combinations and use technology for applications. . Fundamental Counting Principle. The Meal Deal at . Bananabee’s. allows you to pick one appetizer, one entrée, and one dessert for $10.99. How many different Meal Deals could you create if you have three appetizers, six entrées, and four desserts to choose from?. Five different stuffed animals are to be placed on a circular display rack in a department store. In how many ways can this be done? .  . 0.07. 72. . 24. . Warm-Up . #. 6 Tuesday, 2/16. Find the number of uni. Permutations. Objectives. Use the Fundamental Counting Principle to count permutations.. Evaluate factorial expressions.. Use the permutation formula.. Find the number of permutations of duplicate items.. 11-1 Permutations and Combinations Holt Algebra 2 Warm Up Lesson Presentation Lesson Quiz Warm Up Evaluate. 1. 5  4  3  2  1 2. 7  6  5  4  3  2  1