A woman have a combing. thee lock that has 60 numbers. She...

Name: Problem 39, Chapter 9: Precalculus: Functions and Graphs
Uploaded: 2021-09-03T03:00:15-08:00
Duration: 54 s
Channel: Madysn Cardinal
Description: A woman have a combing. thee lock that has 60 numbers. She knows that the correct combination consist of 3 non repeatable numbers, but she has forgotten it. If it takes her 8 seconds to try a combination approximately how long will it take to try every combination?

A woman have a combing. thee lock that has 60 numbers. She knows that the correct combination consist of 3 non repeatable numbers, but she has forgotten it. If it takes her 8 seconds to try a combination approximately how long will it take to try every combination?

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Key Concepts

Permutations Without Repetition

This concept deals with arranging a set of distinct objects in a specific order without repeating any object. When selecting a subset of items from a larger set where the order matters, the number of possible arrangements is calculated using the multiplication principle, where each choice is dependent on the previous choices, leading to a product of decreasing numbers.

Counting Principle

The multiplication principle is a fundamental concept in combinatorics where if one event can occur in n ways and another independent event can occur in m ways, then the total number of ways both events can occur is n multiplied by m. In problems like this, it is used to calculate the total number of possible combinations or arrangements.

Time Conversion

Time conversion involves translating a quantity expressed in one unit of time to another unit. In problems where computational results are presented in a base unit (like seconds), it is often necessary to convert that amount into larger units (such as minutes, hours, or days) to better understand the magnitude of the time involved.

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