A certain number of people are sitting in a row, facing north. A sits second to the right of F. J sits third to the left of K. Only two people sit between F and H when counted from the right of F. Only three people sit between H and K when counted from the right of H. If no other person is sitting in the row, what is the total number of persons seated?
Solution
By mapping the row from left to right, we start with F. Since A is second to the right of F and H is fourth to the right of F (with two people between them), we establish the sequence F-gap-A-H. Next, placing K three spots to the right of H puts K at the 8th position. Finally, verifying that J sits third to the left of K places J immediately to the right of H. Since K is the last person mentioned and occupies the 8th spot, the total number of persons seated is 8.
