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Tim has an encyclopedia in 5 volumesA–C, D–F, G–J, K–N, and O–Z. Other than alphabetically (ascending or descending), how many ways can these volumes be arranged?

120


118


25


insufficient data

Verified Answer :

AL2006

The first book can be any one of the 5.
               For each of those . . .
The 2nd book can be any one of the remaining 4.
               For each of those ...
The 3rd book can be any one of the remaining 3.
              For each of those . . .
The 4th book can be either of the remaining 2.
             For each of those . . .
The 5th book is the last one remaining.

Total number of ways to arrange the 5 books is

           (5 · 4 · 3 · 2 · 1)  =  120 .

Cross off alphabetically ascending (1 way), and alphabetically
descending (1 way), and you're left with  (120 - 2)  =  118 ways.

Hence in 118 ways arrangement of volume

What is Permutation?

When the order of the arrangements counts, a permutation is a mathematical technique for determining the number of alternative arrangements in a collection. Choosing only a few things from a list in a specific order is a common mathematical issue.

How to solve?

Given A–C, D–F, G–J, K–N, and O–Z they can be arranged in 5! ways

Hence5!=54321=120 but it excludes ascending or descending

⇒120-2 =118

hence option B -118 is correct .

Learn more about Permutation https://brainly.com/question/1216161

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