2 votes 2 votes In how many ways 8 different shirts can be distributed to 4 different people so that each will get 2 shirts? Combinatory discrete-mathematics combinatory + – Shubhanshu asked Apr 28, 2017 retagged Jun 27, 2017 by Arjun Shubhanshu 578 views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply Prashant. commented Apr 28, 2017 i edited by Prashant. Apr 28, 2017 reply Follow Share $\frac{8!}{\left ( 2! \right )^{4}}$ –1 votes –1 votes Shubhanshu commented Apr 28, 2017 reply Follow Share please explain how??? 0 votes 0 votes minal commented Apr 28, 2017 reply Follow Share i guess it should 8! 4! / (2!)^4 4! = 8!/ 16 =2520 1 votes 1 votes Prashant. commented Apr 28, 2017 i edited by Prashant. Apr 28, 2017 reply Follow Share yes i too agree Number of ways in which m×n distinct things can be distributed equally among n persons (each person gets m number of things) = Number of ways in which m×n distinct things can be divided equally into n groups (each group will have m things and the groups are numbered, i.e., distinct) so answer should be 8! / (2!)4 1 votes 1 votes Please log in or register to add a comment.
Best answer 7 votes 7 votes Total ways to distribute $8$ different shirts to $4$ different people, so that each gets $2$ shirts is :- $$C(8,2) * C(6,2) * C(4,2) * C(2,2)$$ Kapil answered Apr 28, 2017 selected Apr 28, 2017 by Shubhanshu Kapil comment Share Follow See all 0 reply Please log in or register to add a comment.