What is the probability that in a randomly chosen group of r people at least three people have the same birthday?
I have tried doing this question as fallows- 1-(probability of all people having different birthday+ any 2 people have same birthday+2 people in each of 2 sets have same birthdays but distinct for particular set+probability of 2 people in each of 3 sets have same birthdays but distinct for particular set+.......)
but i can't generalize it....