Regularly the arrangement of choices isn't limited, on the grounds that regardless of whether the quantity of merchandise is limited, the amount picked can be any genuine number on a stretch. A generally indicated Choice Set in Consumer Choice is {\\displaystyle R_{+}"{n}}{\\displaystyle R_{+}\"'{n}}, where {\\displaystyle n}n is the quantity of merchandise. For this situation, there exists a persistent utility capacity to address a buyer's inclinations if and provided that the purchaser's inclinations are nished, transitive and continuous.[3]