a limited number of/limited numbers of

[Snappy]

Which do you use "a limited number of" or "limited numbers of" in the following cases.

They sell a limited number of anime character watches and key rings.
They sell limited numbers of anime character watches and key rings.

[Tdol]

Both could be used. I would use the first if they restrict the range of watches and the second if they limit the sales.

[Snappy]

Both could be used. I would use the first if they restrict the range of watches and the second if they limit the sales.

Thanks. I wondered because it means "They sell a limited number of waches and a limited number of key rings." and in that case whether it should be "limited numbers of = a limited number + a limited number."