Question 8
In a shooting match, eight clay targets are arranged in two hanging columns of three targets each and one column of two targets. A marksman is to break all the targets according to the following 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?
$(1)$ 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?