Respuesta :
13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1= 6,227,020,800
Answer with explanation:
Total number of Basketball players which need to be listed in the program =13
If we represent each basketball player by a different code, suppose by ,A , B ,C, D, E,..........M.
So, total of 13 things need to be arranged in such a way that we can get all the information about them.So order of arrangement is not important.
So we will apply rule of combinatorics here.
Total number of arrangement
[tex]_{13}^{13}\textrm{C}\\\\=\frac{13!}{(13-13)!*13!}\\\\=\frac{13!}{0!*13!}\\\\=1[/tex]
As,you can write information of 13 basketball player in any order,
ABCD.........M.
BCDA..........L.
EDAB..........K.
we just want information,so order does not matter.
total number of arrangement = 1 way