A restaurant advertises that its salad bar offers 32,767
different combinations of items for its customers. How many
items are included in its salad bar?
Hello, testtrail429!
A restaurant advertises that its salad bar offers 32,767 different combinations
of items for its customers. .How many items are included in its salad bar?
There are 15 items in the salad bar.
Justification:
For each item, you have a choice: yes or no.
Hence, there are: .$\displaystyle 2^{15} = 32,768$ different decisions you can make.
But one of them is "no" to all 15 items (you are not a customer).
Therefore, there are: .$\displaystyle 32,\!768-1 \,=\,32,\!767$ choices.