6 couples have been seated along a long table,males on one side and females on the other.

 a. the probability that the birthdays of 6 males fall in exactly one calender month is 1/ 12^6

b. the probability that the birthdays of 6 males fall in exactly three calender months is 9900/ 12^6

c. if 4 persons are selected at random then the probability that 2 of them are male is 5/11

d. if 4 persons are selected at random then the probability that there is exactly one male and no two selected females are adjacent to each other is 17/165.