Twelve clay targets (identical in shape) are arranged in four hanging columns, as shown in...

Twelve clay targets (identical in shape) are arranged in four hanging columns, as shown in Fig. There are four red targets in the first column, three white ones in the second column, two green targets in the third column, and three blue ones in the fourth column. To join her college drill team, Deborah must break all 12 of these targets (using her pistol and only 12 bullets) and in so doing must always break the existing target at the bottom of a column. Under these conditions, in how many different orders can Deborah shoot down (and break) the 12 targets?

Figure