The Marksman
In a shooting match, 8 clay targets are arranged in two hanging columns of three each and one column of two. A marksman must break the targets in the following way:
- The marksman first chooses a column.
- The marksman must break the lowest unbroken target in that column.
Suppose the rules are followed and the marksman never misses. How many ways can the marksman shoot the targets?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Once the marksman picks a target, he has to shoot in one place. He can shoot at two of the columns three times and shoot at one of the columns two times, in any order. Therefore he can shoot in 3 ! ∗ 2 ! ∗ 2 ! 8 ! = 560 ways.