Classwork: wks Homework (day 7): Wks (1-17)/Quiz next block Bring in items to work on Project in class!

Slides:

Advertisements

Similar presentations

DM. 13. 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.

Advertisements

Permutations and Combinations

Chapter 13 sec. 3.  Def.  Is an ordering of distinct objects in a straight line. If we select r different objects from a set of n objects and arrange.

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.

5.4 Counting Methods Objectives: By the end of this section, I will be able to… 1) Apply the Multiplication Rule for Counting to solve certain counting.

How many possible outcomes can you make with the accessories?

1 Learning Objectives for Section 7.4 Permutations and Combinations After today’s lesson you should be able to set up and compute factorials. apply and.

Chapter 7 - Part Two Counting Techniques Wednesday, March 18, 2009.

Permutations & Combinations

Permutations and Combinations AII Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish.

Probability Using Permutations and Combinations

Permutations and Combinations. Random Things to Know.

Permutations and Combinations

PROBABILITY. FACTORIALS, PERMUTATIONS AND COMBINATIONS.

Permutations and Combinations

Counting Subsets of a Set: Combinations Lecture 31 Section 6.4 Wed, Mar 21, 2007.

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 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 12.3, Slide 1 12 Counting Just How Many Are There?

Section 10-3 Using Permutations and Combinations.

Permutations, Combinations, and Counting Theory AII.12 The student will compute and distinguish between permutations and combinations and use technology.

Probability Permutations and Combinations.  Permutations are known as any arrangement of distinct objects in a particular _________. Permutations order.

Prob/Stats Definition A permutation is an ordered arrangement of objects. (For example, consider the permutations of the letters A, B, C and D.)

Counting Subsets of a Set: Combinations Lecture 28 Section 6.4 Wed, Mar 2, 2005.

Whiteboardmaths.com © 2004 All rights reserved

Learning Objectives for Section 7.4 Permutations and Combinations

Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 12.3, Slide 1 12 Counting Just How Many Are There?

Ch Counting Principles. Example 1  Eight pieces of paper are numbered from 1-8 and placed in a box. One piece of paper is drawn from the box, its.

Counting Subsets of a Set: Combinations Lecture 33 Section 6.4 Tue, Mar 27, 2007.

Permutations and Combinations

PERMUTATIONS AND COMBINATIONS BOTH PERMUTATIONS AND COMBINATIONS USE A COUNTING METHOD CALLED FACTORIAL.

Permutations and Combinations. Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish permutations.

Permutations, Combinations, and Counting Theory

6.7 Permutations & Combinations. Factorial: 4! = 4*3*2*1 On calculator: math ==> PRB ==> 4 7! = 5040 Try 12!

Lesson 0.4 (Counting Techniques)

37. Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.

3.2 Combinations.

8.6 Counting Principles. Listing Possibilities: Ex 1 Eight pieces of paper are numbered from 1 to 8 and placed in a box. One piece of paper is drawn from.

Discrete Math Section 15.3 Solve problems using permutations and combinations Read page Combinations and permutations.

WARM-UP By yourselves, make a list of 4 things that you would bring on a desert island. Imagine that you could only bring 3 of the 4 things on your list.

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.

Permutations and Combinations

Section The Pigeonhole Principle If a flock of 20 pigeons roosts in a set of 19 pigeonholes, one of the pigeonholes must have more than 1 pigeon.

Permutations and Combinations AII Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish.

Counting Subsets of a Set: Combinations Lecture 28 Section 6.4 Thu, Mar 30, 2006.

Permutations and Combinations.  Permutation- An arrangement of objects in which order is important.  Linear Permutation- The arrangement of objects.

Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.

Section 6.3. Section Summary Permutations Combinations.

Permutations and Combinations

Counting Principles Ex. Eight pieces of paper are numbered 1 to 8 and placed in a box. One piece of paper is drawn from the box, its number is written.

Chapter 10 Counting Methods.

CSE15 Discrete Mathematics 04/19/17

Unit 4 – Combinatorics and Probability Section 4

Discrete Math Section 15.3 Solve problems using permutations and combinations Read page Combinations and permutations.

8.3 Counting Apply the fundamental counting principle

Permutation – The number of ways to ARRANGE ‘n’ items ‘r’ at

Permutations and Combinations

Permutations and Combinations

Permutations and Combinations

Lesson 11-1 Permutations and Combinations

Permutations and Combinations

Permutations and Combinations

How many possible outcomes can you make with the accessories?

Probability Warm Up page 12- write the question you have 10 mins to complete it. See coaching on page 85.

Permutations and Combinations

Permutations and Combinations

Lecture 7: Permutations and Combinations

Permutations and Combinations

pencil, highlighter, GP notebook, calculator, red pen

MATH 2311 Section 2.1.

Presentation transcript:

Classwork: wks Homework (day 7): Wks (1-17)/Quiz next block Bring in items to work on Project in class!

 You will need your smart phone, laptop, tablet, etc for the quiz.  If you do not have the above, put your name and block on a blank piece of paper and give it to me prior to leaving.

How many Permutations are there with the letters a,b,c,d? Write your answer in P(n,r) notation. How many Permutations are there of the letters a, b, c, d, e, f and g if we take the letters three at a time? Calculator Steps: 4, math PRB 2, nPr, 4

A group of objects in which the order of the objects is irrelevant. When choosing (r) objects from a set of (n) objects, we say that we are forming a combination of (n) objects (r) at a time. Noted: c(n, r) Formula: Applications: Draw Poker hands, lottery tickets, Coalitions, subsets.

How many 3 –element sets can be chosen from a set of five objects? Calculator Steps: 5, math PRB 3, nCr, 3 How many four person committees can be formed from a set of ten people?

A syndicate intended to raise $15 million to buy all the ticket combinations for certain lotteries. The plan was that if the prize was larger than the amount spent on the tickets, then the group would be guaranteed a profit. To play the Virginia lottery, the player buys a ticket for $1 containing a combination of six numbers from 1 to 44. Assuming they raised the $15 million, does the group have enough money to buy enough tickets to be guaranteed a winner?

In the game of poker, 5 cards are drawn from a standard 52 – card deck. How many different poker hands are possible?

 Basic Video (7:38) Basic Video (7:38) watch?v=s_LfN4ItCs4  Howard Community College Video (8:39): Howard Community College Video (8:39): watch?v=IGNO5ucy6eY

Textbook Answers (Day 7 ) p. 578 (19-35