___ ___ ___ ___ ___ ___ ___ ___ ___

Slides:



Advertisements
Similar presentations
Permutations and Combinations
Advertisements

Counting Principles Probability.
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.
How many possible outcomes can you make with the accessories?
Math in Our World Section 11.2 Combinations.
Permutations and Combinations AII Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish.
Expected value a weighted average of all possible values where the weights are the probabilities of each outcome :
Do Now: Make a tree diagram that shows the number of different objects that can be created. T-shirts: Sizes: S, M, L and T-shirts: Sizes: S, M, L and Type:
Permutations and Combinations Multiplication counting principle: This is used to determine the number of POSSIBLE OUTCOMES when there is more than one.
The Fundamental Counting Principle and Permutations
Permutations and Combinations
Counting Techniques 0.4.
Permutations and Combinations. Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish permutations.
Counting and Probability It’s the luck of the roll.
Section 2.6: Probability and Expectation Practice HW (not to hand in) From Barr Text p. 130 # 1, 2, 4-12.
Permutations, Combinations, and Counting Theory AII.12 The student will compute and distinguish between permutations and combinations and use technology.
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 12.8 The Counting Principle and Permutations.
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.
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!
Honors PreCalculus: Section 9.1 Basic Combinatorics.
What is a permutation? A permutation is when you take a group of objects or symbols and rearrange them into different orders Examples: Four friends get.
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.
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.
Permutations and Combinations
Essential Question: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.
Permutations and Combinations AII Objectives:  apply fundamental counting principle  compute permutations  compute combinations  distinguish.
10.1 Applying the Counting Principle and Permutations.
0.4 Counting Techniques. Fundamental Counting Principle TWO EVENTS:If one event can occur in m ways and another event can occur in n ways, then the number.
Fri 4/29 Lesson 11 – 1 Learning Objective: To use permutations & combinations to count possibilities Hw: 11-1 Fundamental Counting WS.
Permutations and Combinations. Fundamental Counting Principle Fundamental Counting Principle states that if an event has m possible outcomes and another.
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.
Counting Techniques. Fundamental Counting Principal Two Events: If one event can occur in m ways and another event can occur in n ways, then the number.
Permutations and Combinations
Counting, Permutations, & Combinations
Warm Up Which of the following are combinations?
Permutations and Combinations
Happy Pi Day! Find x. 15 If you still have x
12.2 Permutations and Combinations
1. In how many ways can six people sit in a six-passenger car?
Counting, Permutations, & Combinations
Permutations and Combinations
Counting, Permutations, & Combinations
Probability Warm Up page 12- write the question you have 10 mins to complete it. See coaching on page 85.
Section 12.8 The Counting Principle and Permutations
Permutations and Combinations
Lesson 11-1 Permutations and Combinations
Permutations and Combinations
Permutations and Combinations
Warm Up Which of the following are combinations?
Permutations and Combinations
How many possible outcomes can you make with the accessories?
Pettit 9-5 Notes Indicator- D7
Counting, Permutations, & Combinations
Counting Methods and Probability Theory
Bellwork Practice Packet 10.3 B side #3.
Counting Methods and Probability Theory
12.1 The Fundamental Counting Principle and Permutations
Probability Warm Up page 12- write the question you have 10 mins to complete it. See coaching on page 85.
Permutations and Combinations
Standard DA-5.2 Objective: Apply permutations and combinations to find the number of possibilities of an outcome.
Permutations and Combinations
Lecture 7: Permutations and Combinations
Permutations and Combinations
9.1 Basic Combinatorics.
Presentation transcript:

___ ___ ___ ___ ___ ___ ___ ___ ___ Notes Over 12.1 Fundamental Counting Principle 1. A baseball coach is determining the batting order for the team. The team has 9 players, but the coach does not want the pitcher to be one of the first four to bat. How many batting orders are possible? ___ ___ ___ ___ ___ ___ ___ ___ ___

Notes Over 12.1 ___ ___ ___ ___ ___ ___ ___ ___ Fundamental Counting Principle 2. How many different 4-digit numbers can be formed from the digits 1, 2, 3, and 4 if digits can be repeated? If digits cannot be repeated? ___ ___ ___ ___ ___ ___ ___ ___

Notes Over 12.1 ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ Fundamental Counting Principle 3. How many different 5-digit zip codes can be formed if digits can be repeated? If digits cannot be repeated? ___ ___ ___ ___ ___ ___ ___ ___ ___ ___

Finding the Number of Permutations Notes Over 12.1 Finding the Number of Permutations 4. If eight basketball teams are in a tournament, find the number of different ways that first, second, and, third place can be decided. (Assume there are no ties) ___ ___ ___

Finding the Number of Permutations Notes Over 12.1 Finding the Number of Permutations 5. There are 15 members in a committee. In how many ways can a president , vice president, secretary, and treasurer be chosen? ___ ___ ___ ___

Finding the Number of Permutations Notes Over 12.1 Finding the Number of Permutations 6. Find the number of distinguishable permutations of the letters in CAT.

Finding the Number of Permutations Notes Over 12.1 Finding the Number of Permutations 7. Find the number of distinguishable permutations of the letters in CINCINNATI.

Notes Over 12.1