A professor tells his students that there will be 16 review problems for the quiz and that the quiz will consist of 5 of these questions, verbatim. Now suppose that a student decides to prepare for the quiz by selecting 5 questions from the review set at random, and mastering these problems. Assuming that this student is completely unprepared for the 11 questions they ignored,

(a) Compute the probability that the student gets a 60% on the quiz. That is, the quiz consists of 3questions the student prepared for and 2 questions the student did not prepare for.

(b) Compute the probability that the student earns a 40% or better on the quiz.

(c) Compute the probability that the student gets a 100% on the quiz.