We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.
So we would use concept of Combinations and It will be choose 4 out of 8 players.
The formula for Combination is given as follows :-
[tex]nCr = \frac{n!}{r!*(n-r)!} \\\\
Choose \;4 \;out \;of \;8 \;players \\\\
8C4 = \frac{8!}{4!*(8-4)!} = \frac{8!}{4!*4!} \\\\
8C4 = \frac{8*7*6*5*4*3*2*1}{(4*3*2*1)*(4*3*2*1)} = \frac{8*7*6*5}{4*3*2*1} =\frac{1,680}{24} = 70 \;combinations[/tex]
Hence, Total number of different teams = 70 combinations.
