Recently, a company had to re 12 employees. The company claimed that it selected the employees who were red at random. Of the 12 employees red, 6 were women (50%). However, only 10 of the company's 30 employees were women (33%). (a) How many possible groups of 12 employees can be selected to be red? (b) Find the number of ways in which a random selection of 12 employees from the company would result in 6 women and 6 men being selected. (c) Find the probability that a random selection of 12 employees from the company would result in the selection of 6 women and 6 men Enter the probability as a decimal rounded to 3 decimal places. Question 2 3.34 pts The local ice cream shop in Dontrelle's town is called 21 Choices. Why? Because they offer 21 different flavors of ice cream. Dontrelle's sister Emogene wants to order a small cup with 2 scoops of different flavors. Note that the order of the two flavors doesn't matter. In how many ways can she do this?At a university's annual picnic, 22 students in the mathematics/statistics department decide to play a soccer game. Sixteen of the 22 students are math majors and 6 are statistics majors. To divide into two teams of 11, one of the professors put all the players' names into a hat and drew out 11 players to form team Fisher, with the remaining 11 players forming team Newton. The players were surprised when 5 of the statistics majors ended up on team Fisher. (a) How many possible groups of 11 students can be selected for team Fisher? (b) Find the number of ways in which a random selection of 11 students for team Fisher would result in 5 statistics majors and 6 math majors being selected. (c) Find the probability that a random selection of 11 students for team Fisher would result in 5 statistics majors and 6 math majors being selected. Enter the probability as a decimal rounded to 3 decimal places