Question

Aidan needs to clean his room, and is arranging the following school books on his bedroom...

Aidan needs to clean his room, and is arranging the following school books on his bedroom shelf : Math, Science, English, French, and History. If he randomly stands the five books next to each other on the shelf, what is the probability that the History and English books will be on the two ends?

( Please explain step by step in detail )

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Answer #1

Total number of arrangements possible with these 5 books = 5!

= 120

Number of arrangements possible with history and English on 2 ends = Number of ways of arranging History and English at 2 ends x Number of ways of arranging the 3 books in the middle

= 2! X 3!

= 12

P(History and English book will be on two ends) = Number of arrangements with History and English books on two ends/ Total number of arrangements possible

= 12/120

= 0.10

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