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