/*! 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. 1.23 A psychology laboratory conducti... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 1.23 (page 16)

A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room. If 3 sets of identical twins are to be assigned to these 6 beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?

Short Answer

Expert verified

The possible number of assignments are48.

Step by step solution

01

Step 1. Given information.

It is given that,

No. of rooms =3

No. of beds in each room =2

So, total number of beds=3脳2=6

02

Step 2. Find possible number of assignments.

No. of ways to distribute 3pair of twins in 3rooms=3!=3脳2脳1=6

No. of ways to allocate bed to each twin =2!=2脳1=2

Therefore, the possible number of assignments are=6脳2脳2脳2=48.

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

How many different letter arrangements can be made from the letters (a) Fluke? (b) Propose? (c) Mississippi? (d) Arrange?

From a set of npeople, a committee of size jis to be chosen, and from this committee, a subcommittee of size i, i鈮�j, is also to be chosen.

(a) Derive a combinatorial identity by computing, in two ways, the number of possible choices of the committee and subcommittee鈥攆irst by supposing that the committee is chosen first and then the subcommittee is chosen, and second

by supposing that the subcommittee is chosen first and then the remaining members of the committee are chosen.

(b) Use part (a) to prove the following combinatorial identity:role="math" localid="1648189818817" 鈭�j=innjji=ni2n-i;i鈮�n

(c) Use part (a) and Theoretical Exercise 13 to show that:role="math" localid="1648189841030" 鈭�j=innjji-1n-j=0;i<n

Consider three classes, each consisting of n students. From this group of 3nstudents, a group of 3 students is to be chosen.

(a) How many choices are possible?

(b) How many choices are there in which all 3 students are in the same class?

(c) How many choices are there in which 2 of the 3 students are in the same class and the other student is in a different class?

(d) How many choices are there in which all 3 students are in different classes?

(e) Using the results of parts (a) through (d), write a combinatorial identity.

A president, treasurer, and secretary, all different, are to be chosen from a club consisting of 10 people. How many different choices of officers are possible if

(a) there are no restrictions?

(b) A and B will not serve together?

(c) C and D will serve together or not at all?

(d) E must be an officer?

(e) F will serve only if he is president?

Consider n-digit numbers where each digit is one of the 10integers 0,1,...,9. How many such numbers are there for which

(a) no two consecutive digits are equal?

(b) 0 appears as a digit a total of itimes, i=0,...,n?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.