es. If the individual course and the order in which the courses are selected does not matter, then how many ways are there for an undergrad
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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 Cambridge in Spring 2020, where each of the trail has exactly 12 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 6 courses from these five different trails in that semester. Show your work and calculation with relevant explanation in detail.
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