Question: 7. Let A, B, and C be three boxes with three, four, and five cells, respectively. There are three yellow balls numbered 1 to 3,

7. Let A, B, and C be three boxes with three, four, and five cells, respectively. There are three yellow balls numbered 1 to 3, four green balls numbered 1 to 4, and five red balls numbered 1 to 5. The yellow balls are placed at random in box A, the green in B, and the red in C, with no cell receiving more than one ball. Find the probability that only one of the boxes will show no matches.

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