Probablity question

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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In a lottery, a person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?
Well, for the first number, there would be 20 number choices. For the second, there would be 19. For the third there would be 18. You get the pattern, right?
20!

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Other answers:

uh, not quite, there are only 6 numbers on the ticket following jf04's logic, we see that first number --> 20 choices second number --> 19 choices, etc. we stop when we get to the sixth number, giving us: 20*19*18*17*16*15 so our probability is 1/(20*19*18*17*16*15)
ok thnks

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