Can two set of numbers(same size) have same arithmetic , geometric, and harmonic mean ? When I say different set they must differ by at-least $1$ element and also what if set is not be of distinct elements?
Can two sets have same AM, GM, HM?
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1`not be of distinct elements` i.e. multiset. I imagine consideration of degrees of freedom should do the trick, depending on cardinality.. – 2012-07-13