If you want to figure out the solution for yourself, here's the reasoning process:
When you click on any one of the seven rabbit holes, a certain set of rabbits flips their state. Write out those seven possible patterns. Then consider the top-left rabbit: There are only two ways to get this rabbit to emerge. Likewise, consider the bottom-right rabbit: there are only two ways to get this rabbit to emerge, as well.
If you stare at the seven patterns for a second, you should be able to see the solution. There are only four possibilities to consider, and one of them works.