Suppose that Yuki is selecting her schedule for next semester and has identified four English courses, three art courses, three psychology courses, and four history courses as possibilities to take. Assume that no two of the courses are offered at conflicting times.
(a) Can the fundamental counting principle be used in solving this problem? Explain.
(b) If any of the courses are offered at conflicting times, can you still use the fundamental counting principle? Explain.
The fundamental counting principle states that if a series of tasks is being performed and the first task can be done in a ways, the second can be done in b ways, the third can be done in c ways, and so on, then all the tasks can be done in a times
b times c times ...ways.
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