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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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