Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls...

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Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen?
(a) 21816
(b) 85536
(c) 12096
(d) 156816
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