The Binomial Distribution Formula

The binomial distribution formula:

A) computes the number of permutations of x successes (and, therefore, n - x failures) that can be achieved in n trials of a random experiment that satisfies the conditions of the binomial experiment
B) computes the probability of x successes in n trials of a random experiment that satisfies the conditions of a binomial experiment
C) produces one of two possible outcomes that are conventionally called success and failure
D) computes the probability of x successes when a random sample of size n is drawn without replacement from a population of size N within which M units have the characteristic that denotes success
E) does all of these