CONSTRUCTION OF BINOMIAL MASS FUNCTION IN THE SAMPLE SPACE OF r-PERMUTATIONS/r-COMBINATIONS
The purpose of this research is to extend the work of the mathematician, James Bernoulli on probability theory to a more general case which is applicable to a larger class of sets. First, we begin by defining the structure of this set on which we derive an explicit formula for such extended probability function in this general setting.
r-permutations, r-combinations, k-inclusion, k-noninclusion.