Posted by **Anonymous** on Thursday, October 18, 2007 at 9:37pm.

Ten cards, the 2 through 6 of spades and the 2 through the 6 of diamonds, are shuffled thoroughly and then taken one by one from the top of the deck and placed on the table. How many arrangements are possible? What is the probability that each card is next to a card bearing the same numeral?

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