D Danneo Member Joined Sep 12, 2016 Messages 46 Gender Male HSC 2018 Oct 5, 2018 #1 In how many ways would 11 people occupy seats at two circular tables, where one 2 table can accommodate 6 people and the other 5 people? THX
In how many ways would 11 people occupy seats at two circular tables, where one 2 table can accommodate 6 people and the other 5 people? THX
pikachu975 Premium Member Joined May 31, 2015 Messages 2,739 Location NSW Gender Male HSC 2017 Oct 5, 2018 #2 Danneo said: In how many ways would 11 people occupy seats at two circular tables, where one 2 table can accommodate 6 people and the other 5 people? THX Click to expand... I think: 11C6 x 5C5 x 5! x 4! Basically 11C6 to pick 6 to sit on first table, then 5C5 to sit on the second table, then 5! to arrange 6 people on one table then 4! to arrange on the second table.
Danneo said: In how many ways would 11 people occupy seats at two circular tables, where one 2 table can accommodate 6 people and the other 5 people? THX Click to expand... I think: 11C6 x 5C5 x 5! x 4! Basically 11C6 to pick 6 to sit on first table, then 5C5 to sit on the second table, then 5! to arrange 6 people on one table then 4! to arrange on the second table.