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一道数学题, 不知儿子做的对不对?

1) During Math class Jim and John were playing 3x3 Tic Tac Toe. (On a 3x3 square grid two players place an X and an O sign alternating, each player having his own sign. The first person having 3 of his signs in a row, column or in a diagonal wins the game.) Upon noticing this activity, their Math teacher gave them the following penalty: They had to calculate how many different grid formations would give a simple victory to one of the players. (A simple victory means that the first 3 marks of a player make him a winner.) Two formations are considered to be the same if one formation can be moved into the other by rotation and/or reflection. If the numbers of X's and O's are different, then the formations are considered to be different.)

My son's answer is 87, is it correct?
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  • 枫下家园 / 望子成龙 / 一道数学题, 不知儿子做的对不对?
    1) During Math class Jim and John were playing 3x3 Tic Tac Toe. (On a 3x3 square grid two players place an X and an O sign alternating, each player having his own sign. The first person having 3 of his signs in a row, column or in a diagonal wins the game.) Upon noticing this activity, their Math teacher gave them the following penalty: They had to calculate how many different grid formations would give a simple victory to one of the players. (A simple victory means that the first 3 marks of a player make him a winner.) Two formations are considered to be the same if one formation can be moved into the other by rotation and/or reflection. If the numbers of X's and O's are different, then the formations are considered to be different.)

    My son's answer is 87, is it correct?
    • DING
    • 我和儿子一起讨论的结果是42.
    • 正确答案是什么啊?好像大家对此题都不怎么感兴趣,可我和孩子费了半天劲,楼主给个明示吧。