Challenging maths problem

This was asked by Jeremy Paxman to the puzzled students on University Challenge last Monday! Unsurprisingly in the time available none of them could do it. Not could I, to be honest. But then I don't suppose Jeremy Paxman could either. Here's the question:

What will be the first date from now which when written in the form XX/XX/XXXX (day/month/year) contains eight different digits?

I'll give the solution and explanation next week. It's not actually that difficult, you just need more than 30 seconds to think about it.