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.

Slides:



Advertisements
Similar presentations
Permutations and Combinations
Advertisements

Combinations, Permutations, and the Fundamental Counting Principle.
Chapter 3b Counting Rules. Permutations  How many ways can 5 students in a class of 30 be assigned to the front row in the seating chart?  There are.
13-3 Permutations and Combinations. Fundamental Counting Principle.
Combinations We should use permutation where order matters
Warm-Up Complete in notes.
Permutations & Combinations
6-7 Permutations & Combinations M11.E.3.2.1: Determine the number of permutations and/or combinations or apply the fundamental counting principle.
6.7 – Permutations and Combinations
EXAMPLE 3 Permutations and Combinations Tell whether the possibilities can be counted using a permutation or combination. Then write an expression for.
Notes 9.1 – Basic Combinatorics. I. Types of Data 1.) Discrete Data – “Countable”; how many? 2.) Continuous Data – “uncountable”; measurements; you can.
Permutations and Combinations
Permutations.
Dr. Fowler AFM Unit 7-7 Permutations and Combinations.
Binomial Distributions
-2 Combinations. Combination-order doesn’t matter; can have repition or not Graphing calculator n#,math,PRB 3,r#,enter.
What are we doing today? Have calculator handy Notes: Basic Combinatorics Go over quiz Homework.
At the local deli you can add two toppings to your sandwich. Draw a tree diagram to show how many ways you can select two different toppings for your sandwich.
Basic Probability Permutations and Combinations: -Combinations: -The number of different packages of data taken r at time from a data set containing n.
The local Family Restaurant has a daily breakfast special in which the customer may choose one item from each of the following groups: Breakfast Sandwich.
10/23/ Combinations. 10/23/ Combinations Remember that Permutations told us how many different ways we could choose r items from a group.
Chapter 12 – Probability and Statistics 12.2 – Permutations and Combinations.
Do Now 1. Find the number of permutations with 7 books taken 4 at a time. 2. Find the number of permutations of the letters in each word: TennesseeGeorgiaAlabama.
Counting Methods Review General Guidelines. Fundamental Counting Principle Each category outcome is independent of any other category outcome OR Items.
Notes Over 12.2 Finding Combinations 1. An ice cream shop has a choice of 10 toppings. In how many ways can you choose 3 different toppings for your ice.
6.3Find Probabilities Using Combinations
Lesson # 65 Notes Combinations. Lesson # 65 Combinations.
Find Probabilities Using Combinations
Find the value of 5 P 3. Counting Methods – Part 3.
Permutations and Combinations Section 2.2 & 2.3 Finite Math.
Arrangements How many ways can I arrange the following candles?
Permutations and Combinations
Warm Up Which of the following are combinations?
Combinations and Permutations CHAPTER 4.4.  Permutations are used when arranging r out of n items in a specific order. n P r = PERMUTATIONS.
A horse race has the following horses running. How many different first, second and third place results are possible: Mushroom Pepper Sausage Tomato Onion.
6.7 Permutations & Combinations. Factorial: 4! = 4*3*2*1 On calculator: math ==> PRB ==> 4 7! = 5040 Try 12!
I CAN: Use Permutations and Combinations
Pre calculus Problem of the Day H. W. - worksheet and p all Number of objects, n Size of group chosen from n objects
3.2 Combinations.
Discrete Math Section 15.3 Solve problems using permutations and combinations Read page Combinations and permutations.
Classwork: wks Homework (day 7): Wks (1-17)/Quiz next block Bring in items to work on Project in class!
Permutations and Combinations
Probability and Counting Rules 4-4: Counting Rules.
Introduction to probability (2) Combinations التوافيق Definition of combination: It is a way of selecting items from a collection, such that the order.
Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.
Warm Up Which of the following are combinations?
Combinations.
6.7 – Permutations and Combinations
Permutations and Combinations
Algebra II Honors Problem of the Day
Discrete Math Section 15.3 Solve problems using permutations and combinations Read page Combinations and permutations.
4 Probability Lesson 4.8 Combinations and Probability.
Permutations and Combinations
Permutations and Combinations
Probability Warm Up page 12- write the question you have 10 mins to complete it. See coaching on page 85.
Permutations and Combinations
Warm Up Which of the following are combinations?
6-7 Permutations and Combinations
Permutation & COmbination
MAT 142 Lecture Video Series
Counting Principle.
Warm Up Melanie is choosing an outfit for a job interview. She has four dresses, three blouses, five pairs of pants and three pairs of shoes to choose.
Mathematics Unit 19: Choices
Warm-Up #7 Wednesday, 2/17 Determine the correct one and solve for it. Combinations (order doesn’t matter). Permutations (order matters). Picking a team.
Probability Warm Up page 12- write the question you have 10 mins to complete it. See coaching on page 85.
WUE Seventeen applicants want to interview with SAS. In how many ways can the 8 time slots be assigned? How many different ways can the letters of the.
Chapter 11: Further Topics in Algebra
Permutation – Order matters (a race)
Permutations and Combinations
Section 0.4 Day 1 – Counting Techniques
Presentation transcript:

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 order Combinations

Combination formula n = size of the large group r = number of items chosen – not in any particular order From “n” items, choosing “r” at a time:

Using a Calculator for Combinations.

A pizza restaurant offers 14 different toppings for its pizzas. How many different 3-topping pizzas are possible?

The Prom committee will consist of 5 people. If there are 70 seniors, how many different committees are possible?

Permutation or Combination?????? If they have to be in order, use __permutation_______ If the order doesn’t matter, use __combination_________

Classwork Page , #1-10 (determine P or C) and #27-38 – calculate using Combination.