The European Extremely Large Telescope (E-ELT) will be the largest optical-infrared telescope in the World. With a diameter of about 40m and with adaptive optics integrated in the telescope, the E-ELT will be more than one hundred times more sensitive than the present-day largest optical telescopes. The E-ELT will vastly advance astrophysical knowledge by enabling, for example, the detection of Earth-like exo-planets, the study of the first galaxies, a direct measurement of the acceleration of the expansion of the Universe. In this talk I will illustrate the E-ELT project and the characteristics of the telescope according to the latest reference design. I will also discuss the E-ELT Science Case and I will focus on the results of the simulations performed for the Design Reference Mission, in particular on the topic of young stellar clusters and the Initial Mass Function.