'arbitrarily-mixed' originates from the Latin word 'arbitrarius,' meaning 'dependent on the will,' and the Old English word 'mix,' meaning 'to blend or combine.'

'arbitrarius' transformed into the English word 'arbitrary,' and 'mix' remained largely unchanged, eventually forming the modern English term 'arbitrarily-mixed.'

Initially, 'arbitrarily' meant 'dependent on personal will,' and 'mix' meant 'to blend,' evolving into the current meaning of 'combined without a specific order.'