[switters]

Pudley -- it turns out that you were right -- we DO need to multiply them by three...

the reason is: I was computing the choose function wrong...

I computed (11 choose 2) as 11 * 10, when it should have been (11 * 10)/2.

I computed (50 choose 3) as 50 * 49 * 48 when it should have been (50 * 49 * 48)/6.

so, instead of:
(11 * 10 * 39) / (50 * 49 * 48)

I shoulda had:
(11 * 10 * 39 / 2) / (50 * 49 * 48 / 6)
= 6(11 * 10 * 39) / 2(50 * 49 * 48)
= 3 * (11 * 10 * 39) / (50 * 40 * 48)

or, exactly what you said. [img]/forums/images/icons/smile.gif[/img]

sorry bout that, everyone...

-Bryon