Question

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

Answer 1

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,

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

Answer: The number of differen ways are 2184

And the operation involves the permutation.