3 3 votes Twelve clay targets (identical in shape) are arranged in four hanging columns, as shown in figure below. 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? Others goclasses2025-da-scholarship-test goclasses numerical-answers combinatory counting one-mark + – GO Classes 597 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
1 1 vote There are a total of 12! ways to shoot the clay, but due to the repetition of some colours we are using the division rule here, so 12! / (4! 3! 2! 3!) after solving this factorial, we will get answer 277200. GauravRajpurohit answered Jul 29, 2024 GauravRajpurohit comment Share Follow See 1 comment 1 1 comment reply Aditya174 commented Dec 21, 2024 reply Follow flag https://artofproblemsolving.com/wiki/index.php/1990_AIME_Problems/Problem_8?srsltid=AfmBOopgX7oTSuEZId8ZE-QvdU17cVEM6KkcXOsFHjJsRw3Ficww_2EVSee this link for similar question and explanation 0 0 replyShare Please log in or register to add a comment.
