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Example 4: Door Locks A door lock on a classroom requires entry of four digits. All digits must be numbers, but the digits cannot be repeated. How many unique codes are possible?

Example 4: Door Locks A door lock on a classroom requires entry of four digits. All digits must be numbers, but the digits cannot be repeated. How many unique codes are possible?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Example 4: Door Locks A door lock on a classroom requires entry of four digits. All digits must be numbers, but the digits cannot be repeated. How many unique codes are possible? Key Concept: Factorials A factorial is the product of an integer and all the integers below it. For example, 5! = 5x4x3x2x1 Example 5: Evaluating Factorials Evaluate each expression (a) 7! (b) (c) 8! 6! 10! 7! 3! Definition: Permutation A permutation is an arrangement or an ordering. For a permutation, the order matters. Example 6: Arranging students in a line How many different ways can 3 students be lined up to purchase a new textbook reader? (After this example, there is another factorial example in the case that you need to see it again. Otherwise, skip forward.) 64
Transcribed Image Text:Example 4: Door Locks A door lock on a classroom requires entry of four digits. All digits must be numbers, but the digits cannot be repeated. How many unique codes are possible? Key Concept: Factorials A factorial is the product of an integer and all the integers below it. For example, 5! = 5x4x3x2x1 Example 5: Evaluating Factorials Evaluate each expression (a) 7! (b) (c) 8! 6! 10! 7! 3! Definition: Permutation A permutation is an arrangement or an ordering. For a permutation, the order matters. Example 6: Arranging students in a line How many different ways can 3 students be lined up to purchase a new textbook reader? (After this example, there is another factorial example in the case that you need to see it again. Otherwise, skip forward.) 64
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