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DIA [1.3K]
3 years ago
14

A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t

he 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?
Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

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

Now arrange the 4 books of Lincoln      

This can be done in                                        4! ways

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

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The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

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First, the original vertices are:

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3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

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Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

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If you want to learn more about transformations:

brainly.com/question/4289712

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Answer:

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