Response from Sonic:
Thanks for your interest in Sonic’s flavor combination methodology.
This formula creates a fun, everyday math problem for students to work and we’re honored to be part of your students’ homework. While the possible drink combinations at Sonic can be arrived at many different ways, the number 168,894 was generated by looking at how many different ways our 16 add-ins (Chocolate, Cherry, Strawberry, Diet Cherry, Pineapple, Lemon, Lime, Blue Coconut, Grape, Orange, Powerade, Cranberry, Apple Juice, Vanilla, Hi-C, Watermelon) could be applied to 12 base drinks on the menu. While it’s possible a customer could request all 16 add-ins into a drink thereby sky-rocketing the total number of drink combinations; we operated under the assumption that the most likely number of add-ins would be six or less to one drink. No drink on our current menu includes more than three add-ins, but we’re more than happy to customize any drink according to a customer’s wishes. Good luck to you and your fellow mathematicians, if you’d like to play with some of the many drink combinations available online, visit www.
maketjdrink.com. Enjoy!
Trea Towe
Operations Coordinator
They actually called it "combination methodology" haha
Oh, and by the way, if you're wondering, even with this response, I can't get the numbers to work out yet. If you get a free minute and want to work on it, let me know what you come up with.
**Update**
I posted this problem on the sci.math google group. Hopefully someone will be able to find an answer... more updates soon (I hope)
PS - See Kim, it really wasn't a year after all :)