'non-competitively' originates from the prefix 'non-' meaning 'not' and the word 'competitive,' which comes from Latin 'competere,' meaning 'to strive together.'

'competere' transformed into the French word 'compétitif,' and eventually became the modern English word 'competitive,' with 'non-' added to form 'non-competitive.'

Initially, 'competere' meant 'to strive together,' but over time, 'competitive' evolved to mean 'involving competition,' and 'non-competitive' to mean 'not involving competition.'