A container that stands entirely on private property, on your own driveway or inside your site fence and clear of the sidewalk and parkway, needs no village permit.
For a placement in the street there is no published container route in Carpentersville. The village's rights-of-way chapter is written around utility work and tests whether something obstructs the right-of-way, has a material adverse effect on its use, or materially obstructs traffic on a highway, and the village fees schedule carries no dumpster line at all. So the practical answer is to plan the placement on your own ground, and to speak to the village first if there is genuinely no room, since an administrative route may exist that is not written down. Nothing about a street placement should be treated as settled until the village has been asked.
The hauler question has a cleaner answer than in most Illinois villages, and it turns entirely on one definition. Carpentersville operates a municipal waste system and requires residential property to use it, but the duty is written against what the code calls system waste, and system waste is defined to exclude institutional waste, commercial and office waste, industrial lunchroom waste, construction and demolition waste, and waste from a mixed-use premises. Construction debris is outside the village system by name. The code goes further and says that commercial and industrial buildings, and any other premises the village does not serve at the curb, must arrange their own removal at least weekly.
The village also licenses no haulers. Its business licensing provisions run through alarm companies, liquor, amusements, raffles, food dealers, itinerant merchants, massage, rental property, pet shops, tattooing and the rest, and there is no refuse or scavenger category anywhere in them. There is no franchise to be outside of, no approved-hauler list and no enrolment window. Your account manager confirms the current position for your address before delivery, but Carpentersville is one of the simpler places in the Fox Valley to put a container.
One village rule reaches the customer rather than the hauler, and it is worth building into the schedule. It is unlawful to let solid waste accumulate in a way that creates a nuisance or attracts flies, vermin or rats, or to let any solid waste accumulate for more than seven days. On a demolition or clearing job that is a hard limit on loose piles: debris cannot sit on the ground past a week while you decide what to do with it.
Permanent bins have their own standards too. A dumpster enclosure has to be completely, permanently and securely screened, gated and set on a solid ground surface, located at the rear of a building and screened from view from residential property, public property and any street, sidewalk or trail. Carts may be kept outside only in a side or rear yard, with opaque chain link screening prohibited. None of that governs a temporary roll-off on a driveway, but it does explain why the village expects debris contained rather than stacked.