re: Generator help and questions for a newb

I'm fine using an adapter, and there is even a cord that has the 50A three prong plus side ground on the female end (house inlet) and four prong twist-lock 30A on the male end (generator). Just making sure 30A rated 10 ga. is not a fire risk running from 30A source to 50A circuit - logic suggests to me it should not be, but that I'm not sure of. Those 30A cords are 10 ga. and 50A cords are 6 ga. - much more expensive, but more difficult to work with store, etc. Willing to pay if necessary, no need to spend the extra $$ if overkill.