234*. Once in a room, there were several inhabitants of an island where only truth-tellers and liars live. Three of them said the following.

- There are no more than three of us here. All of us are liars.
- There are no more than four of us here. Not all of us are liars.
- There are five of us. Three of us are liars.

How many people are in the room and how many of them are liars?
$\triangle$ Let's consider the first of the three speakers. Suppose he is a truth-teller. Then both of his statements, including the second one, "All of us are liars," would be true, which means he is a liar. We have reached a contradiction. Therefore, he can only be a liar.

In this case, both statements of the first person are false: in reality, there are more than three people in the room, and not all of them are liars.

Let's examine the statements of the second person. His statement "Not all of us are liars" is true, so he is a truth-teller. This means there are no more than four people in the room. Considering the previous conclusion, we get that there are exactly four people.

Since the statement of the third speaker, "There are five of us," is false, he is a liar. Therefore, there are not three liars in the room. Moreover, there are at least two liars in the room—the first and the third—and the number of liars is less than four, since there is a truth-teller among those present. In this case, there are exactly two liars.

Answer: 4 people, 2 liars.