Hi! I need a solution for this question: There are 4 yellow balls, 3 green balls, 3 red balls, and 2 blue balls. If they are to be put in a line, how many arrangements are possible? (For example, one valid arrangement is 1st-green ball, 2nd-yellow ball, 3rd-blue ball, 4th-green ball, 5th-green ball, 6th-blue ball, 7th-red ball, 8th-yellow ball, 9th-yellow ball, 10th-yellow ball, 11th-red ball, 12th-red ball)

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