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In Mathematics / Middle School | 2014-05-06

In how many ways can 8 books be arranged on a shelf?

A. 8 ways
B. 64 ways
C. 256 ways
D. 40,320 ways

Asked by mjchey

Answer (3)

Well you can arrange 8 books in 8 ! ways, which means it is:
1 ∗ 2 ∗ 3 ∗ 4 ∗ 5 ∗ 6 ∗ 7 ∗ 8 = 40320 ways

Answered by Scryt | 2024-06-10

720 ways.
You would use 6P6 (Permutations) to find the answer.
You can also use the method that goes like this.
Book 1: 6 possible choices
Book 2: 5 possible choices (as you cannot replace the book once you have placed it.)
Book 3: 4 possible choices
Book 4: 3 possible choices
Book 5: 2 possible choices
Book 6: 1 possible choice (as it is the last book that you have not used.)
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Answered by morrhady | 2024-06-13

You can arrange 8 books on a shelf in 40,320 different ways, which is calculated using the formula for permutations (8!). Therefore, the answer is D. 40,320 ways.
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Answered by Scryt | 2024-11-07