A study is conducted at a retirement home to determine the attitudes of nurses towards various administrative procedures. A sample of 15 nurses is selected from a total of 23 nurses employed by the retirement home. 7.1) How many different ways can 15 nurses be selected? [2] 7.2) Eight of the 23 nurses are male. If 15 nurses are randomly selected from those employed by the retirement home, what is the probability that the sample selected will include exactly 6 male and 9 female nurses (rounded off to three decimals)?