First, separate all the cards by suit. Line up each suit in this order: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Next stack the packets on top of each other. Starting with the top card, deal off 21 cards, making sure that when you lay them down t... Read more of The Self-Arranging Deck at Card Trick.caInformational Site Network Informational
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DOMINOES IN PROGRESSION.





(Problems Concerning Games.)
It will be seen that I have played six dominoes, in the illustration, in
accordance with the ordinary rules of the game, 4 against 4, 1 against
1, and so on, and yet the sum of the spots on the successive dominoes,
4, 5, 6, 7, 8, 9, are in arithmetical progression; that is, the numbers
taken in order have a common difference of 1. In how many different ways
may we play six dominoes, from an ordinary box of twenty-eight, so that
the numbers on them may lie in arithmetical progression? We must always
play from left to right, and numbers in decreasing arithmetical
progression (such as 9, 8, 7, 6, 5, 4) are not admissible.


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