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4. Juli 2004, 23:41:01

Kevin

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I believe your answer is not correct either.

You say:
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{there are just 12 "different" cards now to start...}

4 x (12 x 12) x (11 x 11) x (10 x 10) =

6,969,600.
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However, after the first "x12", it is no longer 12:1 that another card of the same number will be drawn - there are only three of it remaining, while there are four of the rest. Same for the 2nd "x11" and "x10".