Online Store Glitch - Help

Ok, so I'm browsing clothing online right, see a cardigan for $60, and go to the designers own website to see if it's cheaper. The price on the cardigan on there is $0 - I know it's a glitch, but if I order it and pay (in the checkout it's only charging me shipping which is $10) do they have to send it? It also says the item is in stock, and al other items have prices.

Please help if you know anything about what will happen in this situation - do they have an obligation to send?

Cheers