The permutation of a set of independent negative binomial random variables, not identically distributed, will be used for ranking players from the best to the worst. A problem of ranking k players is considered when they score points independently as Bernoulli random variables such that the probability of scoring points by all players are not all the same. Since the players are ranked according to how many trails needed for each player to score the desire number of points, negative binomial distribution function is used to build the model of getting the probability of the permutation of the best order.