'Permutations' diaporamas de présentation

Communicating Ideas

Communicating Ideas. Small RAM. e.g., chimpanzee. Large ( but not infinite ) ROM. e.g., stack of instruction cards. Computing With Limited Memory. Each instruction:. Examine a specific input bit. Based on current state , lookup next state. Computing With Limited Memory. m states.

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Permutations and Combinations

Permutations and Combinations. Key Vocabulary: Permutation Combination Fundamental Counting Principle Factorial. Objectives:. apply fundamental counting principle compute permutations compute combinations distinguish permutations vs combinations.

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Graded Homework

Graded Homework. P. 163, #29 P. 170, #35, 37. Graded Homework, cont. P. 163, #29 U. Of Pennsylvania 1,033 admitted early (E) 854 rejected outright (R) 964 deferred (D) Typically 18% of deferred early admission are admitted in the regular admission process (173.5)

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Permutations and Combinations

Permutations and Combinations. CS/APMA 202 Rosen section 4.3 Aaron Bloomfield. Permutations vs. Combinations. Both are ways to count the possibilities The difference between them is whether order matters or not Consider a poker hand: A ?, 5?, 7?, 10?, K? Is that the same hand as:

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Security

CS423UG Operating Systems . Security. Indranil Gupta Lecture 37 Nov 28, 2005. Content. 9.1 The security environment 9.2 Basics of cryptography 9.3 User authentication 9.4 Attacks from inside the system 9.5 Attacks from outside the system

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CS 173: Discrete Mathematical Structures

CS 173: Discrete Mathematical Structures. Cinda Heeren heeren@cs.uiuc.edu Siebel Center, rm 2213 Office Hours: W 9:30-11:30a. CS 173 Announcements. Homework 8 available. Due 03/26, 8a. Exam 2, Apr 4, 7-9p, Loomis 141. Email Cinda with conflicts.

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Counting Rules

Counting Rules. Basic Counting Rule.

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Counting, Permutations, & Combinations

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Counting, Permutations, & Combinations

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Permutations and Combinations

Permutations and Combinations. Objectives. Calculate a permutation. Calculate a combination. Determine whether you should use a combination or permutation to calculate the number of outcomes. . Vocabulary. combination permutation with replacement without replacement . Formulas.

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Last time we discussed: The rule of sum The rule of product

Last time we discussed: The rule of sum The rule of product Permutations = arrangements when the order is important all objects are distinct/not all are distinct without repetition/ with repetitions. Combinations =selections when the order does not matter . 2. 6.

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Permutations with Identical Items

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12.6 Permutation

12.6 Permutation. SWBAT apply permutations to solve counting problems. Permutation. An ordered arrangement of distinct objects without repetition Order matters!!!. Factorial. The product of all positive numbers less than or equal to the number. Problem 1.

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CMSC 203 / 0201 Fall 2002

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___ ___ ___ ___ ___ ___ ___ ___ ___

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?.

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Combinations & Permutations

Objective: - I will distinguish between permutations & combinations and solve both types of problems. -Given four problems involving permutations, combinations, or the Fundamental Counting principle, I will identify which is involved and solve correctly. Combinations & Permutations.

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Permutation - an arrangement of a set of distinct objects in a certain order.

Permutation - an arrangement of a set of distinct objects in a certain order. Ex. Set of objects { A, B, C, D} ABCD BACD DCBA BCAD Each of these is a permutation of the set { A, B, C, D}. How many permutations of the set are possible?

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Algebra II H Problem of the Day H.W. worksheet and p. 941 19-39 odds

Algebra II H Problem of the Day H.W. worksheet and p. 941 19-39 odds. Beth, Jill, Angel, and Lenny found 4 seats together at a crowded theater. If Jill insists on sitting next to Lenny, in how many ways can they be seated?. Permutation - an arrangement of a set of distinct

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Section 15-4

Section 15-4. Permutations with Repetition; Circular Permutations. Activity. Complete activity on p. 583 Write down all possible arrangements of the letters of the word MOP. Write down all possible arrangements of the letters of the word MOM.

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