MHB Combinations / Sets of objects

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A solution is sought for generating unique combinations from a set of objects, such as {Apple, Pear, Orange}. The expected output includes all possible combinations without repetition, like Apple, Pear and Apple, Orange. The formula for calculating the total combinations is 2^n, where n is the number of elements in the set, although this also includes the empty set. Suggestions for online generators or resources to understand this concept better are requested. The discussion highlights the importance of ensuring combinations do not repeat in different orders.
arno100
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Hi,

I am looking for a solution that generates combinations of objects from a series of objects in a set. For example, {Apple, Pear, Orange} should bring back
Apple
Pear
Orange
Apple, Pear
Apple, Pear, Orange,
Apple, Orange
...

Items in the series should not repeat (i.e. Apple, Orange / Orange, Apple should only appear once). Any online generators anybody can suggest? Or, material I can use to figure this out?

Many thanks
 
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You forgot "Pear, Orange", the formula is 2^n with n is the number of elements in the set. Beware that 2^n also includes an empty set.
 

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