478. Setting up dominoes. One day someone reminded Professor Rackbrain about his promise to say how many ways there are to arrange 28 domino tiles in a single line according to the usual rules of the game, if arrangements from left to right and from right to left are considered different. After some time, he reported that there are 7959229931520 such ways, and added that this problem is very complex.

Then the professor suggested to those present to solve a similar problem for 15 tiles (which remain after removing all tiles with five or six spots), with the condition that two domino chains, obtained by "reading" the same chain once from left to right and once from right to left, are considered different. Of course, in this case, the tiles should also be arranged according to the usual rules: 1 to 1, 6 to 6, etc.

\section*{PUZZLES WITH MATCHES}
478. There are 126760 different ways to arrange 15 dominoes in a line, if the two directions are distinguished.