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Question

In how many ways can the 8 books arranged equally on each shelf ?

A
3
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B
8
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C
4
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D
6
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Solution

The correct option is C 4
To find the number of ways that books can be arranged so that each shelf has same number of books ,we must know the factors of 8
Factors of 8:
1 × 8 = 8
2 × 4 = 8
4 × 2 = 8
8 × 1 = 8
Hence there are in total 4 factors 1,2,4,8 respectively
hence there are 4 differnt ways to arrange the books

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