Number of different drinks that can be made using 6 ingredients

Suppose a bar has 6 different ingredients for a drink. How many different drinks can be made using these 6 ingeredient, if every drink on the menu contains at least three different ingredients?

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer
The answer is accepted.