/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 18 Eight people are boarding an air... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 18

Eight people are boarding an aircraft. Two have tickets for first class and board before those in the economy class. In how many ways can the eight people board the aircraft?

Short Answer

Expert verified
The total number of ways the eight people can board the aircraft is \(2!*6! = 14560\).

Step by step solution

01

Calculate the possible orders of the first-class passengers

The first-class passengers can board in \(2!\) ways. This is calculated by using the factorial function: \(2! = 2 * 1\).
02

Calculate the possible orders of the economy class passengers

The economy class passengers can board in \(6!\) ways. This is calculated by using the factorial function: \(6! = 6 * 5 * 4 * 3 * 2 * 1\).
03

Calculate the total number of boarding order possibilities

The total number of boarding scenarios is the number of first-class boarding orders multiplied by the number of economy-class boarding orders: Total = \(2! * 6!\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 9 - 14, determine the sample space for the experiment. Two marbles are selected (without replacement) from a bag containing two red marbles, two blue marbles, and one yellow marble. The color of each marble is recorded.

In Exercises 53 - 60, the sample spaces are large and you should use the counting principles discussed in Section 9.6. The deck for a card game is made up of \( 108 \) cards. Twenty-five each are red, yellow, blue,and green, and eight are wild cards. Each player is randomly dealt a seven-card hand. (a) What is the probability that a hand will contain exactly two wild cards? (b) What is the probability that a hand will contain two wild cards, two red cards, and three blue cards?

You and a friend agree to meet at your favorite fast - food restaurant between \( 5:00 \) and \( 6:00 \) P.M.The one who arrives first will wait \( 15 \) minutes for the other, and then will leave (see figure). What is the probability that the two of you will actually meet,assuming that your arrival times are random within the hour?

In Exercises 31 - 34, find the probability for the experiment of drawing two marbles (without replacement) from a bag containing one green, two yellow, and three red marbles. The marbles are of different colors.

The complexity of interpersonal relationships increases dramatically as the size of a group increases. Determine the numbers of different two-person relationships in groups of peopleof sizes (a) \( 3 \), (b) \( 8 \), (c) \( 12 \), and (d) \( 20 \).
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.