Box I contains three cards bearing numbers 1,2,3; box II contains five cards bearing numbers 1,2,...

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Box I contains three cards bearing numbers 1,2,3; box II contains five cards bearing numbers 1,2,3,4,5; and box III contains seven cards bearing numbers 1,2,3,4,5,6,7. A card is drawn from each of the boxes. Let x_i be the number on the card drawn from the i th box i=1,2,3.
(2014 Adv.)
The probability that x_1, x_2 and x_3 are in an arithmetic progression, is
(a) 9/105
(b) 10/105
(c) 11/105
(d) 7/105

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