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Nine tiles are numbered 1,2,3,4,5,6,7,8,9 respectively. Each of the three players A,B and C randomly selects 3 tiles one after the other without replacement and they sum up those three values as marked on the tiles. The probability that all three players obtain an odd sum is mn, where m and n are relatively prime. The value of |2m−n| is

Answer» Nine tiles are numbered 1,2,3,4,5,6,7,8,9 respectively. Each of the three players A,B and C randomly selects 3 tiles one after the other without replacement and they sum up those three values as marked on the tiles. The probability that all three players obtain an odd sum is mn, where m and n are relatively prime. The value of |2mn| is


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