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Orders of breaking clay targets
High school · ●●○○○ 20 pts
Eight clay targets are arranged in three hanging columns: two columns of three targets each and one column of two targets. A marksman breaks all the targets by these rules: 1. The marksman first chooses a column from which a target is to be broken. 2. The marksman must then break the lowest remaining target in the chosen column. If the rules are followed, in how many different orders can the eight targets be broken?