Suppose there are 10 male and 6 female professors to teach Discrete mathematics. In how many ways a student can choose Discrete mathematics professor.

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To solve this question, we shall apply the sum rule counting principle as follows.

A student can choose a male professor in 10 ways. The student can also choose a female professor in 6 ways.

Therefore, the total number of ways a student can choose a professor is 10+6 =16 ways.