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Jasoncookies23
19.09.2019 •
Mathematics
Alibrarian has a set of ten different books, including four different books about abraham lincoln. the librarian wants to put the ten books on a shelf with the four lincoln books next to each other, somewhere on the shelf among the other six different books. how many different arrangements of the ten books are possible?
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Ответ:
120960
Step-by-step explanation:
Given that a librarian has a set of ten different books, including four different books about Abraham Lincoln.
The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.
First arrnage the 6 other books in the shelf.
This can be done in![6! ways](/tpl/images/0243/5322/174d5.png)
Now arrange the 4 books of Lincoln
This can be done in![4! ways](/tpl/images/0243/5322/0f3db.png)
Now we have 7 places to insert Lincoln books including two corners and in between.
Thus this can be done in 7 ways
Total no of ways =![6!(4!)(7) = 120960](/tpl/images/0243/5322/a5658.png)
Ответ:
200,000% or 200%
Step-by-step explanation:
minus both numbers