Breaking all the records they thought could never be broke.Discrete Mathematics Level pending
There are 100 distinguished people in a city and it's mayor has decided to form 2 associations Council of American Builders and Council of American Writers .The first association will have 60 people and the other 40 . But there are 2 geniuses who don't care whether they are in the first association or the second but will have to be together . What is the probability that the 2 geniuses have their wish ? NOTE : To avoid any ambiguity , the question states that what is the probability that exactly 2 of the 100 people are together when all of them are divided into 2 distinct associations having 40 and 60 people respectively .