Same question as "Distribution of N balls numbered 1 to N with replacement", but without replacement:
An urn contains N balls numbered 1.2.3...N.
I draw at random n balls, one by one WITHOUT replacement.
Let X the smallest number, the largest Y and S the sum of all the n numbers
How to compute:
-the probability P(X=x,Y=y) that X=x AND Y=y
-the probability that S=s