On an island, there is this strange pattern - boys always lie while girls always tell the truth. Again, you encounter four children.
The oldest one was silent.
The second one says, "There are more boys than girls among us."
The third one says, "There is an equal number of boys and girls among us."
The youngest one says, "There are fewer boys than girls among us."
How many possible combinations are there?
For a bonus extension, can you list all possibilities and show how each one is arrived at?