Question

Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways eight cars can line up in a row for a car wash

Name: Problem 15, Chapter 3: Elementary Statistics: Picturing the World
Uploaded: 2020-12-22T23:00:30-08:00
Duration: 1 min 19 s
Channel: Lily An
Description: Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways eight cars can line up in a row for a car wash

   Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning.
The number of ways eight cars can line up in a row for a car wash

Elementary Statistics: Picturing the World

Ron Larson, Betsy… 6th Edition

Chapter 3, Problem 15

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Solved by Expert Lily An

12/22/2020

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We need to arrange these eight objects in a row. Show more…

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Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways eight cars can line up in a row for a car wash

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Key Concepts

Permutations

Permutations refer to arrangements of objects where the order in which the objects appear is important. In the context of arranging eight cars in a row, the sequence in which the cars line up matters, making it a permutation problem rather than one involving combinations.

Factorial Calculation

The factorial function (denoted as n!) is used to calculate the number of ways to arrange n distinct objects. For eight cars, the number of arrangements is 8!, which means multiplying all whole numbers from 8 down to 1. This reflects the total count of possible permutations.

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