Solution to Problem:

The answer is 15.

For example, for three items on the salad bar,
there are 7 different combinations of 1, 2, or 3 items on the Super Bar.
If the three items are Bacon, Lettuce, and Cheese,
the seven combinations would include three combinations of 1 item
(1. Bacon, 2. Lettuce, and 3. Cheese),
three combinations of 2 items
(4. Bacon & Lettuce, 5. Bacon & Cheese, 6. Lettuce & Cheese),
and one combination of all three items
(7. Bacon, Lettuce, and Cheese).

For fourteen items on the salad bar,
there are 16,383 different combinations of 1, 2, 3, 4, ... up to 14 items on the Super Bar.

For fifteen items, there are 32,767 combinations on the salad bar.

Here is a list of all the possible combinations:

15C1	=	15 (there are 15 ways to select one of the 15 items.
15C2	=	105 (there are 105 ways to select 2 of the 15 items at a time)
15C3	=	455
15C4	=	1,365
15C5	=	3,003
15C6	=	5,005
15C7	=	6,435
15C8	=	6,435
15C9	=	5,005
15C10	=	3,003
15C11	=	1,365
15C12	=	455
15C13	=	105
15C14	=	15
15C15	=	1
Sum	=	32,767

Certainly, Wendy's has more than 15 items on their Salad Bar!!

Why did Wendy's use the number 26,335 in their advertisement?
I believe that possibly they were counting 229 items, and just summed the numbers from 1 to 229, which is exactly 26335. But this is erroneous since it only counts one combination of each of those numbers.