Answer:
[tex]20[/tex]
Step-by-step explanation:
GIVEN: Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams Three players in each team.
TO FIND: how many different ways can they be put into two teams of three players.
SOLUTION:
Total number of players [tex]=6[/tex]
total teams to be formed [tex]=2[/tex]
total players in one team [tex]=3[/tex]
we have to number of ways of selecting [tex]3[/tex] players for one team, rest [tex]3[/tex] will go in other team.
Total number of ways of selecting [tex]3[/tex] players [tex]=^6C_3[/tex]
[tex]=\frac{6!}{3!3!}[/tex]
[tex]=20[/tex]
Hence total number of different ways in which they can be put into two different teams is [tex]6[/tex]
