There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. we record the triplet that describes the month of birthday for each person. e. g. (oct, jan, jul) is one possible triplet/outcome. (since each month applies to a specific person, (oct, jan, jul) is not the same as (jan, jul, oct) and so order is important.) a. how many possible outcomes are there? b. in how many of these outcomes, all three people have their birthday in different months? c. in how many of these outcomes, at least two people have their birthday in the same month?