A softball culture's creating the starting lineup of 3 batteries for the next game how many different ways can 3 batteries be selected for the starting line of its 14 player are on the softball tnassau ball team

Respuesta :

The number of players are n=14.

The r=3 batters are selected.

there are 14 players amoung which we ahve to select 3 batters for next game.

The different ways to of selelction is given by,

[tex]\begin{gathered} ^{}Numberofways=^n\text{P}_r=\frac{n!}{(n-r)!} \\ ^{14}\text{P}_3=\frac{14!}{(14-3)!}=2184 \end{gathered}[/tex]

Answer: The number of differen ways are 2184

And the operation involves the permutation.