Where each of the trees is planted is completely determined if which one of the following trees is planted on lot 2?

on January 8 at 11:50PM


im still confused as to why maple couldnt completely determine?

1 Reply

Michelle on January 13 at 08:12PM

Thanks for your question @Ceci

Let's work through what we can and cannot know if M is placed in lot 2.

We know from the rules that M and W cannot be in the same plot, so we know that W cannot be in lot 2.

We also know from the rules that either M or O BUT NOT both will be placed in lot 2. So we can say for sure that since M is in lot 2, O is not in lot 2.

Because O is not in lot 2, H is also not in lot 2 because H and O must appear together.

O and H can also not be in lot 1 because we known they must appear with a third tree. But in order to satisfy the last rule, lot 1 cannot have more than 2 trees.

Since O and H cannot be in lots 1 or 2, we know they must be in lot 3 with one other tree.

So here is a summary of what we do know:

Lot 1: L OR W
Lot 2: M
Lot 3: O, H, and one more tree

As you can see, L, W S and P remain unaccounted for.

Hope this helps! Let me know if you have any more questions