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With that said I'm sure it must've happened during te 16 seeds days, but I'm not sure about the current 32 seed system.

How did you come up with that number? I'm sure the maths behind it is correct, I'm just wondering if it takes into account the changing sample size. Two players can't face the same opponent in the first round, after all. Once a WC/Q has been paired off with an unseeded player, the unseeded player is removed from the pot as it were.The chance of this happening is 0.00096%, or 1 in over 100000.

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There are 104 direct entrants, and 24 of them need to be chosen to play the qualifiers/WCs. There are 104!/(24!*80!) ways for that to happen.

There are 72 direct entrants that are not seeds. There are 72!/(24!*48!) ways to choose 24 of them to play the qualifiers/WCs.

Divide the second number by the first to get the probability

This is assuming none of the seeds and wild cards face each other. It's a lot more complicated otherwise.

The numbers vary. The Australian Open has 16 and 8 for men but 12 and 8 for women.Given that there are 16 Q's and 8 WC's

Kworb is right for 16 and 8. Suppose the 32 seeds are drawn first. The first Q or WC can be drawn in 96 places and 64 of them avoid a seed. The second can be drawn in 95 places and 63 of them avoid a seed, assuming the first avoided a seed.

The chance all 24 avoid a seed is 64/96 * 63/95 * ... * 41/73 = 0.0096% = 1/104136.

For 12 and 8 we get 64/96 * 63/95 * ... * 45/77 = 0.0091% = 1/11019.

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