# Meaning of the phase space in statistical physics

I have a silly question about the phase space. I am confused with the meaning of points in phase space. Does the each point in phase space represent concrete particle of the system, or does it represent the whole state of the system? Our teacher told us, that we use the phase space to describe the development of each particle. It is not right, isn't it?

For example, if you have a system of $N$ particle with coordinates $\vec r_1, \dots, \vec r_N$ and momenta $\vec p_1, \dots, \vec p_N$, its general state will be a point in a $6N$ dimensional phase space:
$$\vec X = (\vec r_1, \dots, \vec r_N, \vec p_1, \dots, \vec p_N)$$