There are 1024 possible variations of salad
The number of ways of selecting atleast one item from a list of distinct items is given by :
[tex] {2}^{n} - 1[/tex]
Where n = number of distinct items in the list :
The items which could be added :
{banana pepper, green peppers, onions, cucumbers, carrots, olives, pickles, cheese, sun flower seeds, tomatoes}
Hence, the number of items, n = 10
Therefore, the number of different variations of items which can be made from the list is :
[tex] {2}^{10} - 1 = 1024 \: - 1 \: = 1023[/tex]
Since the salad originally contains lettuce only, we add 1 to the value obtained :
Hence, the number of different variations of salad possible is :
[tex]1023 \: + \: 1 \: = \: 1024[/tex]
Hence, there are 1024 different variations of salad possible.
Learn more : https://brainly.com/question/8018593
