Adam, Bob and Charles, members of a certain team, insisted on sticking together, while taking their places on a bench, accommodating the whole team of n people, - while Dan and Eddy would not like to be placed one next to another.
In how many ways may all these requests be met, if n = 5, 8, 10.

Rem: Computer programs allowed only as verification of your analytically produced results.

(In reply to which poses the question... (spoiler--includes recaps of solutions) by Charlie)

No problem!

Posted by Steve Herman on 2011-09-04 14:23:23