/*! 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} Q. 24 List all the ordered arrangement... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q. 24 (page 855)

List all the ordered arrangements of 5 objects a,b,c,d, and echoosing 2 at a time without repetition. What is P(5,2)?

Short Answer

Expert verified

The list of ordered arrangements is:

ab,ac,ad,ae,ba,bc,bd,be,ca,cb,cd,ce,da,db,dc,de,ea,eb,ec,ed.

The value of the given permutation is 20.

Step by step solution

01

Step 1. Given information.

2 objects are chosen from 5 objects a,b,c,d, and eat a time without repetition.

The given permutation is P(5,2).

02

Step 2. Determine the list of ordered arrangements.

The list of ordered arrangements is:

ab,ac,ad,ae,ba,bc,bd,be,ca,cb,cd,ce,da,db,dc,de,ea,eb,ec,ed

03

Step 3. Determine the value of permutation.

We know that,

P(n,r)=n!(n-r)!

Using the above formula, we get

P(5,2)=5!(5-2)!P(5,2)=5!3!=5脳4脳3!3!=20

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

A(n) _____________ is an ordered arrangement of robjects chosen from nobjects.

Use the information given in the figure.

How many are in A and B?

According to a Harris poll, 5% of U.S. adults admitted to having spent money gambling online. If a U.S. adult is selected at random, what is the probability that he or she has never spent any money gambling online?

A(n) ___________ is an arrangement of r objects chosen from n distinct objects, without repetition and without regard to order.

True or False In a probability model, the sum of all probabilities is 1.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Pure Maths

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.