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Old 10-03-2007, 12:18 PM
Wyman Wyman is offline
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Join Date: Mar 2007
Location: MI, at least for a few yrs =(
Posts: 222
Default Re: Card Deck Arrangement Problem

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Glue the 4 aces together. (Any of 24 suit-sequences.)
Glue the 4 kings together. (Any of 24 suit-sequences.)
Shuffle the resulting 46-card deck.

so, 4!4!46! possible sequences with the necessary cards adjacent, out of 52! possibilities, which simplifies to 1 / 20358520.

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Shouldn't that be a resulting 44 card deck, making the probability quite a bit smaller ? (44*45 = 1980 times smaller I guess).

The method is perfectly correct, of course [img]/images/graemlins/smile.gif[/img]

MarkW

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No. There are 46 cards. There are 44 non-ace/non-kings, 1 super-ace, and 1 super-king to shuffle.
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