probability

[hello]

Imagine a lottery with only thirty balls (1-30).

The probability of getting 4 or more balls correct is 5/609.

What is the best 609 tickets to pick?

By best I mean the most effiecient, the tickets that cover the most possibilites of number combinations to give the best chance of getting four or more numbers.

If you don't have the time to make a list (it is a lot of numbers) then maybe you know of a way to make something like excel generate the list I am after. If you do then can you tell me how.

Thank you.