MHB Four statistical questions need detailed answer , THx

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The discussion centers on a request for help with statistical questions related to a tic-tac-toe board. The initial response emphasizes that the participants will not complete the homework for the requester. A calculation is provided, indicating that there are 504 possible configurations for placing three "X"s on the board. The conversation then poses specific questions about the configurations of "X"s in vertical columns, horizontal rows, and diagonals. The focus remains on understanding the statistical arrangements within the game.
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So. Why don't you tell us what you need help with? We aren't going to do your homework for you.

-Dan
 
(29) A "tic-tac-toe board" has 9 positions. There are 9 places to put the first "X", then 8 places to put the next, and then 7 places to put the last: there are total of 9(8)(7)= 504 possible configurations for 3 "X"s on the board. How many of those have all three "X"s in the same vertical column? How many have all three in the same horizontal row? How many diagonal are there?
 
First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...

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