Question

8 stickers are arranged in one column. There are 7 such columns and 4 such groups of stickers. Which of the following arrangements can be made using the total number of available stickers?

• A. 6 rows, 4 columns, and 7 groups
• B. 7 rows, 4 columns, and 8 groups
• C. 4 rows, 4 columns, and 8 groups
• D. 5 rows, 6 columns, and 8 groups

Answer 1

The correct option is B 7 rows, 4 columns, and 8 groups

There are 8 stickers in each of the 7 columns and 4 such groups of stickers. The total number of stickers can be calculated as $8\times 7\times 4$.

According to the associative property, the product of three or more numbers remains the same irrespective of how the numbers are grouped.

Therefore, even if we change the order, the total number of stickers will remain the same.

From the options, we can see that only 7 rows, 4 columns, and 8 groups will give us the same total number of stickers, i.e., $7\times 4\times 8$ will give us the same product as $8\times 7\times 4$.