Find Possible Combination with set of options without repetitions.

Asked Sep 17 '20 at 14:06

Active Sep 17 '20 at 14:06

Viewed 31 times

Suppose I have the following items.

Apple
Mango
Orange
Pineapple

I want to find all possible combinations without repetitions. How do I find that?

Note: I have tried Permutations and Combinations, but its asking to provide a length. Its not working for me.

Here's the expected result.

Apple
Apple, Mango
Apple, Mango, Orange
Apple, Mango, Orange, Pineapple
Mango
Mango, Orange
Mango, Orange, Pineapple
Orange
Orange, Apple
Orange, Pineapple
Pineapple
Pineapple, Apple
Pineapple, Mango
Pineapple, Orange, Apple

Any ideas how to find this using a formula, or any online calculator available to find this?

asked Sep 17 '20 at 14:06

Surjith S M

1

Hint: a set of order $n$ has $2^n$ subsets, including the empty set. – lulu Sep 17 '20 at 14:13
@lulu Can you explain more? What is it called? Any naming for this? – Surjith S M Sep 18 '20 at 16:03
See, e.g., this question for a proof of my claim. Note: your list only has $14$ elements while it should have $2^4-1=15$. Indeed, you seem to have skipped Apple,Mango, Pineapple. – lulu Sep 18 '20 at 16:14

Find Possible Combination with set of options without repetitions.

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