If 36 books are to be arranged in rows and columns, what are the total number of arrangements possible?

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Solution

The correct option is A 9
Number of arrangements of 36 books :

Rows $\times$ column = Total number of books

1 $\times$ 36 = 36
2 $\times$ 18 = 36
3 $\times$ 12 = 36
4 $\times$ 9 = 36
6 $\times$ 6 = 36
9 $\times$ 4 = 36
12 $\times$ 3 = 36
18 $\times$ 2 = 36
36 $\times$ 1 = 36

Therefore,
Total number of arrangements possible = 9

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If 36 books are to be arranged in rows and columns, what are the total number of arrangements possible?

The correct option is A 9Number of arrangements of 36 books : Rows × column = Total number of books 1 × 36 = 36 2× 18 = 36 3 × 12 = 36 4 × 9 = 36 6 × 6 = 36 9× 4 = 36 12 × 3 = 36 18× 2 = 36 36× 1 = 36 Therefore, Total number of arrangements possible = 9