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In: Statistics and Probability

A professor prepares ten questions for an exam. He makes multiple exams from these ten questions,...

A professor prepares ten questions for an exam. He makes multiple exams from these ten questions, so students do not all have the same test. On each test, he randomly selects five of the ten questions.
a. How many different exams can the professor make assuming two exams with the same questions in different orders are counted as the same exam? Show the calculations used to determine the solution.
b. How many different exams can the professor make assuming two exams with the same questions in different orders are counted as different exam? Show the calculations used to determine the solution.

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