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Catering to sportsmen's whims (Posted on 2011-09-04) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: which poses the question... (spoiler--includes recaps of solutions) Comment 4 of 4 |
(In reply to which poses the question... (spoiler--includes recaps of solutions) by Charlie)

No problem!

 6 * (n-2)! - 12 * (n-3)! 
 6 * (n-2) *(n-3)! - 12 * (n-3)! = 
 (6n - 24) * (n-3)! =
 6(n-4)  * (n-3)!

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