(b) A company has two identical openings and is choosing among six applicants. Find how many ways there are to fill two positions with six candidates. Show calculation. Explain why you went with your...

(b) A company has two identical openings and is choosing among six applicants. Find how many ways there are to fill two positions with six candidates. Show calculation. Explain why you went with your formula, rather than the alternative.

(c) You are one of the six applicants. List all the combinations that allow you to land one of the jobs. Then, using the classical definition of probability and your answer from (b), calculate the probability of you getting one of the two jobs.