The sandwich shop offers combo meals with a choice of one sandwich, one side, and one drink. On total there are 560 combos available. If there are 16 sandwiches and 5 drinks available, how many sides are there?
The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)
This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides: 15(6)(S) = 560 80S = 560