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4.2 Factorials and Permutations
Factorial I have 4 cards, how many different ways can I pick those 4 cards if order matters.
Choir A senior choir has rehearsed five songs for an upcoming assembly. In how many different orders can the choir perform the songs?
Example In how many different ways could ten questions on a test be arranged, if the easiest question and the most difficult question – Are side by side – Are not side by side
Permutation In how many different orders can eights nominees for the student council give their speeches?
Permutation In how many ways could a president and vice- president be chosen from a group of eight nominees?
Example In a card game, each player is dealt a face down “reserve” of 13 cards that can be turned up and used one by one during a game. How many different sequences of reserve cards could a player have?
Assignment Pg 239 #’s 1,2,4,6,7,9,18
Factorials and Permutations. In how many ways can a senior choir rehears five songs for an upcoming assembly. There are a total of 5 songs to choose from.
6.7 Permutations & Combinations. Factorial: 4! = 4*3*2*1 On calculator: math ==> PRB ==> 4 7! = 5040 Try 12!
4-2 Factorials and Permutations Imagine 3 animals running a race: How many different finish orders could there be? D H S FINISHFINISH.
Permutations and Combinations Adapted from resources at: and
Factorials How can we arrange 5 students in a line to go to lunch today? _________ __________ __________ __________ ________.
2.2 Permutations (Textbook Section 4.6). Recall Factorial Notation The number of ways to arrange n objects into n spots is n! (read “!” a “factorial”)
Permutations and Combinations. Objectives: apply fundamental counting principle compute permutations compute combinations distinguish permutations.
Permutations and Combinations AII Objectives: apply fundamental counting principle compute permutations compute combinations distinguish.
EXAMPLE 2 Use a permutations formula Your band has written 12 songs and plans to record 9 of them for a CD. In how many ways can you arrange the songs.
Chapter 1 Section 11-3 I CAN: Use Permutations and Combinations.
Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.
Lesson 0.4 (Counting Techniques). Objectives: apply fundamental counting principle compute permutations compute combinations distinguish permutations.
Probability Permutations and Combinations. Permutations are known as any arrangement of distinct objects in a particular _________. Permutations order.
37. Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Quiz: Draw the unit circle: Include: (1)All “nice” angles in degrees (2) All “nice” angles in radians (3) The (x, y) pairs for each point on the unit circle.
How many possible outcomes can you make with the accessories? Fundamental Counting Principle Investigation.
10.3 – Using Permutations and Combinations Permutation: The number of ways in which a subset of objects can be selected from a given set of objects, where.
Exploring Counting Rules & Probability Counting Aim: Find the number of possibilities.
Permutations Counting where order matters If you have two tasks T 1 and T 2 that are performed in sequence. T 1 can be performed in n ways. T 2 can be.
Expected value a weighted average of all possible values where the weights are the probabilities of each outcome :
1.6 Probability & 6.7 Permutations and Combinations So divinely is the world organized that every one of us, in our place and time, is in balance with.
Combinations A combination is an unordered collection of distinct elements. To find a combination, the general formula is: Where n is the number of objects.
Statistics Review. Box-and-Whisker Plots The Parts of a Box and Whisker Plot Name the parts of a Box-and-Whisker Plot MedianUpper Quartile Lower.
Permutations and Combinations. Objectives: Apply fundamental counting principle Compute permutations Permutations of Similar things Compute combinations.
Find the value of 5 P 3. Counting Methods – Part 3.
WonLost 1234 Year Number of Games Warm-Up 1) In which year(s) did the team lose more games than they won? 2) In which year did the team play.
Chapter 11 Counting Methods © 2008 Pearson Addison-Wesley. All rights reserved.
1 Combinations. 2 Permutations-Recall from yesterday The number of possible arrangements (order matters) of a specific size from a group of objects is.
Section 11.1 The Fundamental Counting Principle and Permutations Math in Our World.
Lesson # 65 Notes Combinations. Lesson # 65 Combinations.
Discrete Math Section 15.3 Solve problems using permutations and combinations Read page 578 Permutations are used when.
Permutations, Combinations, and Counting Theory AII.12 The student will compute and distinguish between permutations and combinations and use technology.
Permutations and Combinations Advanced Math Topics.
Permutations and Combinations. Objectives Calculate a permutation. Calculate a combination. Determine whether you should use a combination or permutation.
6.7 Permutations and Combinations. Fundamental Counting You have the following clothes to choose from: 1 black and1 blue pair of jeans 1 yellow, 1 green,
Discrete Structures, Fall Permutation vs Combination Permutations Combinations Ordering of elements from a set Sequence does matter is not.
ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE TEN CLICK THE NUMBERS IN SEQUENCE.
Warm Up Which of the following are combinations? 4 books pulled at random from a shelf 12 books arranged on a shelf 3 flavors of juice selected from a.
SECTION 10-3 Using Permutations and Combinations Slide
CCM 4300 Lecture 1 Computer Networks: Wireless and Mobile Communication Systems. Permutations and Combinations Dr E. Ever School of Engineering and Information.
13 Lesson 1 Let Me Count the Ways Fundamental Counting Principle, Permutations & Combinations CP Probability and Statistics FA 2014 S-ID.1S-CP.3S-CP.5.
Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 – items had to be in a certain.
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