In order to determine the total number of different arrays in which 24 eggs can be packaged, we need to find all the possible ways to arrange 24 objects into rectangular arrays.
By looking at the image, we can see that the possible dimensions of the arrays are:
1x24
2x12
3x8
4x6
6x4
8x3
12x2
24x1
So the total number of different arrays possible is 8.
Use the image to help you answer Parts A and B. Part A Eggs are generally sold in batches of 12 (or dozens). The image shows the 3 different ways that 12 eggs can be packaged into arrays. Note that the array 3 by 4 is taken to be equivalent to the array 4 by 3 and therefore is not included. If it was decided that eggs should be sold in batches of 24, then these 24 eggs could be packaged into a total of different arrays.
1 answer
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