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April 10th, 2013, 07:21 PM   #1
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How many options at the salad bar?

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?
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April 11th, 2013, 10:47 AM   #2
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Re: How many options at the salad bar?

Quote:
Originally Posted by 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?
15
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April 11th, 2013, 11:11 AM   #3
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Re: How many options at the salad bar?

There are 2 options for each item: you either have it or not. So if you had 6 items, you would have 2^6-1 combinations. 32767+1=2^15. Hence, as mrtwhs has already said, the answer is 15.
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