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MJbrown

Answer:            D.  720

Step-by-step explanation:

Use the Fundamental Counting Principle.

There are six books and 6 ways to choose the first book, 5 ways to choose the second book after the first one is chosen, and so on.

6 · 5 · 4 · 3 · 2 · 1 = 720

Therefore, there are 720 different ways that the books can be arranged.

6 books be arranged on a shelf in [tex]720[/tex] ways

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The 6 books be arranged on a shelf in [tex]n[/tex] [tex]![/tex] ways

⇒[tex]6[/tex] !

⇒[tex]6[/tex] × [tex]5[/tex] × [tex]4[/tex] × [tex]3[/tex] × [tex]2[/tex] × [tex]1[/tex]

⇒[tex]720[/tex]

Thus the 6 books be arranged on a shelf in [tex]720[/tex] ways

Learn more about permutations here

https://brainly.com/question/23283166

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