13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent...

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13-1 Permutations and Combinations Pre Calc A

Transcript of 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent...

Page 1: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

13-1 Permutations and Combinations

Pre Calc A

Page 2: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Vocabulary

Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination

Page 3: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex 17:

Determine whether the events are independent or dependent.

Tossing 3 coins one at a time Choosing a president, vice president, and treasurer for a club Selecting a math, history, and science for next year The order in which runners finish 1st, 2nd, and 3rd in a race

Page 4: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex :

Mr. Douty is buying a suit, either one made of wool or one made of polyester. He has narrowed down the choices of colors to gray, blue, black, or tan and the matching tie to a floral, stripe, or solid. How many different selections of his suit and tie are possible?

Page 5: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex last one:

How many seven digit phone numbers begin with 28?

How many seven digit phone numbers begin with 28 if no digits can be repeated?

Page 6: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex 17:

How many different ways can 5 different textbooks be placed on a shelf?

Page 7: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex :

A high school honor club is composed of 7 students.

How many different ways can all the members stand in a straight line for a picture?

How many ways can they select a president and vice president ?

Page 8: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex :

A TV network has 15 movies they can show for the holidays. They have spots to air 3 of these movies. How many groups of three can be selected?

Page 9: 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination.

Ex last one: There are 10 names on the ballot for senior class

officers. Four will be selected to form a committee.

How many different committees of 4 can be formed?

In how many ways can a committee of 4 be formed if each student has a different responsibility?

If ther5e are 6 girls and 4 boys on the ballot, how many committees of 3 girls and 1 boy be formed?


11.1 Permutation and Combination - ASD Pages€¦ · Probability, Permutations, & Combinations Lesson 11.1 Objectives Define probability Use the counting principle Know the difference

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Permutations, Combinations & Counting Principle Essential Questions: What’s the difference between a permutation & combination? When do we use the.

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Permutations Combinations - Wikispaces6+-+Permutations... · Permutations Combinations Order ... Explain the difference between the permutation and combination formula and why. _____

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Sect. 12-2 Permutations. Def: When a group of objects or people are arranged in a certain order, the arrangement is called a permutation.

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2.4 Permutations and Combinations - Gustavus …homepages.gac.edu/~rpark/mcs115/9780538495059-ch2.4.pdf2.4 Permutations and Combinations O bjectives • Develop and apply the Permutation

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SESSION 4 Permutations Combinations Polynomialsstudentsonline.btps.ca/documents/general/R3 Session 4 -- Perms... · A permutation is an arrangement of objects in a definite order.

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A permutation n distinct - Eastern Illinois University | …mathcs/mat2120/index/set04.pdfA permutation of n distinct objects is an arrangement or ordering of the n objects. The permutations

A permutation n distinct - Eastern Illinois University | …mathcs/mat2120/index/set04.pdfA permutation of n distinct objects is an arrangement or ordering of the n objects. The permutations

PERMUTATIONS AND COMBINA TIONS · PERMUTATIONS AND COMBINATIONS 139 Definition 1 A permutation is an arrangement in a definite order of a number of objects taken some or all at a

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Permutation and Dihedral Groups - mathcourses.nfshost.com · Overview Starting De nitions Factorizations of Permutations Cycle Structure of Permutations Orders of Permutations Parity

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3.4B-Permutations Permutation: ORDERED arrangement of objects. # of different permutations (ORDERS) of n distinct objects is n! n! = n(n-1)(n-2)(n-3)…3·2·1.

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Permutations and Combinations.notebook - Wikispacesmmecaissie.wikispaces.com/file/view/2+Permutation+and+Combinatio… · Permutations and Combinations.notebook 1 ... How many ways

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5.Permutations and Combinations - Sakshi · 2014-10-30 · PERMUTATIONS AND COMBINATIONS Permutations are arrangements of things taken some or all at a time. In a permutation, order

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Permutations Combinations - fabientchomnou - homefabientchomnou.cmswiki.wikispaces.net/file/view/...permutation combination 2. Evaluate: Choose: 12 60 480 720 3. A teacher is making

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Chapter 4: Permutations - Cycle Notation Cycle Notation Ljtmulhol/math302/notes/Chapter04-Cycle-Notation-blan… · Order of a permutation revisited order of a permutation a Sn is

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More Recursion: Permutations and Towers of Hanoi · Recursive Permutation Algorithm Recursive Permutation code in detail: 2 parameters to the function 1) The string we want to permute

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