There are 4people in a room, and we are curious whether two of them have theirbirthday in the same month. We record the quadruplethat describes the month ofbirthday for each person. E. g. (Oct, Jan, Jul, Apr) is one possible quadruple /outcome.(Since each month applies to a specific person, (Oct, Jan, Jul, Apr) is not the same as(Jan, Jul, Oct, Apr) and so order is important). a. How many possible outcomes are there?
b. In how many of these outcomes, all four people have their birthday indifferent months?
c. In how many of these outcomes, at least two people have their birthday in the same month?