A nursery worker has 72 small trees to be displayed in lines in a rectangular shape. Each horizontal and vertical line must have more than 5 trees. How many different arrangements are possible?
1 Answer
Feb 26, 2018
2 arrangements
Explanation:
The important part of this question is to recognize factor pairs of 72 that are both larger than 5.
By prime factorization, we have
Which gives a total of
Note that 1, 2, 3, 4 (which is
Method 2: Listing
As we can see, there are only