Four statistical questions need detailed answer , THx

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The discussion focuses on calculating the possible configurations of three "X"s on a tic-tac-toe board, which consists of 9 positions. The total configurations for placing three "X"s are determined to be 504, calculated using the formula 9 × 8 × 7. Specific inquiries are made regarding the configurations where all three "X"s align vertically, horizontally, or diagonally, emphasizing the need for detailed statistical analysis of these arrangements.

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(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?
 

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