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xax
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Every subset of n+1 from a 2n set has a pair of numbers with gcd=1. How can I prove this?
A subset is a collection of elements from a larger set, where the elements in the subset are also present in the larger set.
To choose a subset from a set, you must select a specific number of elements from the larger set and create a collection that only contains those elements.
In this context, "n+1" represents the number of elements in the subset, which is one more than the number of elements in the original set.
This is because when choosing a subset from a set, at least one element must be added to the subset in order for it to be a proper subset. Otherwise, the subset would be equivalent to the original set.
There are 2^n possible subsets that can be chosen from a set with 2n elements. This is because for each element in the set, you have two options: to include or not include it in the subset. Therefore, the total number of possible combinations is 2^2n, which simplifies to 2^n.