  The short pulses of X-ray free electron lasers can produce diffraction
patterns with structural information before radiation damage destroys the
particle. The particles are injected into the beam in random orientations and
they should be identical. However, in real experimental conditions it is not
always possible to have identical particles. In this paper we show that the
correlation maximization method, developed earlier, is able to select identical
particles from a mixture and find their orientations simultaneously.
