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2. a. Jane is a math teacher who currently has a class of 10 students. If...

2. a. Jane is a math teacher who currently has a class of 10 students. If she decided to pick 3 students at random to each get 5 bonus points, in how many ways can she make her selection?

2.b. Suppose instead that Jane decides to award 15 points to one student, 10 to another and 5 to the third student. In how many ways can she award the points in this scenario?

2. c. Steve is one of Jane's students. In scenario a) what is the probability that Steve gets 5 points? In scenario b) What is the probability that Steve gets 15 points?

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