Hi quick question. I was recently posed a question by a co-worker who saw it in a liquor store contest: 156 different brands of beer for sale You can build your own six pack with any of the 156. How many different ways can you fill the six pack without having the same brand for more than two bottles? My thoughts are that it's just 156C6 + 156C5 (two of the bottles are one brand = 5 brands chosen) + 156C4 (four of the bottles are from two brands = 4 brands chosen) + 156C3 (two bottles of three brands = 3 brands chosen) It's kinda embarrassing that I'm asking this online but I want to make sure I'm not giving him bad advice! Free beer is riding on it. Thanks!