Suppose five different engineering trails, i.e., Machine Learning, Power Engineering, Optics and Photonics, Microwave Communication, and Biomedical Engineering have been offered at University of Toronto in Summer 2021, where each of the trail has exactly 10 courses. If the individual course and the order in which the courses are selected does not matter, then how many ways are there for an undergraduate student to select randomly 7 courses from these five different trails in that semester. Show your work and calculation with relevant explanation in detail.

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