This idea resulted while I heard an advertisement for Sonic, where they claim to have something like 300,000 different drinks they serve.
Essentially, what they are allowing you do to is mix any soda to create your own "unique" drink.
As such, it made me curious how to calculate the number of "unique" drinks you make.
Let's say you have 4 sodas (soda: A, B, C, and D) and you want to find out the total number of unique drinks you can make by using any number of those sodas mixed together.
Is the answer just 4! (4 Factorial)?
The answers would include:
- A
- B
- C
- D
- AB
- AC
- AD
- BC
- BD
- CD
- ABC
- ABD
- ACD
- BCD
- ABCD