The domestic appliance assembly as claimed in claim 21, wherein the solenoid valve has a 2/2-way valve which can be activated by means of the control device with a fixed or variable frequency, and with a variable on-time, in such a manner that the gas flow through the metering device can be adjusted by selecting the on-time, or
- wherein the solenoid valve has a 2/2-way proportional valve, in which a variable opening cross section at a valve seat of the solenoid valve can be adjusted by activation by means of the control device, in such a manner that the gas flow through the metering device can be adjusted by selecting the opening cross section at the valve seat.