Household cleaning appliance with a dispensing system operable between a single use dispensing system and a bulk dispensing system

A household cleaning appliance configured to execute a cleaning cycle on an article, comprising:

• a cabinet defining an interior;
• a treating chamber located within the interior for receiving an article for cleaning;
• a non-bulk dispensing system having a dispensing chamber fluidly coupled to the treating chamber, wherein the dispensing chamber stores a single dose of treating chemistry that the dispensing system dispenses to the treating chamber as part of the execution of the cleaning cycle;
• a bulk dispensing cartridge configured to be received within the dispensing chamber and to store multiple doses of a treating chemistry;
• a sensor that determines when a bulk dispensing cartridge is received within the dispensing chamber;
• and
• a water diverter configured to divert a flow of water to the dispensing chamber in the absence of the bulk dispensing cartridge and to the housing in the presence of the bulk dispensing cartridge.