Question

In how many ways can 13 basketball players be listed in a program?

Answer 1

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 2

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

`_(13)^(13)\textrm{C}\\\\=(13!)/((13-13)!*13!)\\\\=(13!)/(0!*13!)\\\\=1`

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