Ok let's take a closer look:
210.52(F) says Laundry Areas. In dwelling units, at least one receptacle outlet shall be installed for the laundry. (there are exceptions)
210.8(A) now requires GFCI protection for laundry areas
210.50 states that "Appliance receptacle outlets installed in a dwelling unit for specific appliances, such as laundry equipment, shall be installed within 1.8m (6ft) of the intended location of the appliance.
210.11 Branch Circuits Required states in 210.11(C)(2) Laundry Branch Circuits. In addition to the number of branch circuits by other parts of this section, at least one 20-ampere branch circuit shall be provided to supply the laundry receptacle outlet(s) required by 210.52(F). This circuit shall have no other outlets.
So as I stated before, you are required to have at least one receptacle in the laundry room but you are required to have a separate 20A circuit/receptacle for the clothes washer that cannot serve any other receptacle BUT it says receptacles(s) so you can use one circuit for 2 or 3 laundry rooms, not that anyone would do that. Your laundry receptacle for the washer cannot serve any other outlet per 210.(C)(2)