jason wants to choose 9 players for his track team ,there are 12 players to choose from.how many different teams can jason make?
He could only make one team, considering that if you do 12-9, you are left with 3, and Jason wants to have his team consisted of 9 players. However, if you make 3 teams with 4 players on each team, or 4 teams with 3 players on each team, you could do that as well.
Answer: 220 team can Jason make.
Step-by-step explanation:
Since, the total numbers of players = 12
The number of players in one team = 9,
Hence, the total combination of choosing 9 players out of 12 players
\(=^12C_9\)
\(=\frac{12!}{9!\times (12-9)!\)
\(=\frac{12\times 11\times 10\times 9!}{9!\times 3!}\)
\(=\frac{12\times 11\times 10}{3\times 2}\)
\(=\frac{1320}{6}=220\)
Thus, 220 team can Jason make.