Twelve popular brands of beer are used in a blind taste study for consumer recognition. Complete parts (A) and (B) below. (A) If 4 distinct brands are chosen at random from the 12 and if a consumer is not allowed to repeat any answers, what is the probability that all 4 brands could be identified by just guessing? Let the sample space S be the set of ways that the 4 distinct brands can be chosen from the 12 popular brands of beer. The number of elements in the sample space S is n(S) =. (Type a whole number.)