The site states unlimited - I know that there is no postage for three samples (tested) but please try to rein in the amount you choose. It would be great to get some samples without the company closing down the offer and it being removed from this site.
From the site:-
UNLIMITED FREE SAMPLES
With us, choose as many samples as you like for free! We know how important it is to find the perfect fit so that’s why we believe in unlimited free samples. Your new floor is a big decision so it has to be right.
FIRST CLASS SHIPPING
When we say free, we mean free so you don’t need to worry about paying for shipping. We send all our samples first class with the Royal Mail so they should be with you in no time.
Follow the instructions and choose between the various floorings.
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Chief Bargain Hunter