The baseball coach is going to pick 9 players for the team. He has 10 outfielders, 11 infielders, and 5 pitchers to pick from. The team must have 3 outfielders, 1 pitcher, and 5 infielders. How many ways can he select his baseball team?

Question

kropot72 · Answer

The number of ways of selecting 3 outfielders is 10C3.
The number od ways of selecting 5 infielders is 11C5.
Thereare 5 choices of pitcher.
The total number of ways of selecting the team is $$10C3\times 11C5\times 5$$