Solution Found!
Seven young boys have moved into a new community and would like to participate in little
Chapter 9, Problem 9(choose chapter or problem)
Seven young boys have moved into a new community and would like to participate in little league baseball. Three teams, namely the Falcons, the Jaguars and the Panthers, agree to take the 7 new players, with the Falcons taking 3 and the other teams taking 2 each. In how many ways can this be done?
Questions & Answers
QUESTION:
Seven young boys have moved into a new community and would like to participate in little league baseball. Three teams, namely the Falcons, the Jaguars and the Panthers, agree to take the 7 new players, with the Falcons taking 3 and the other teams taking 2 each. In how many ways can this be done?
ANSWER:Step 1 of 3
The Falcons can select the 3 players they want out of 7 players in \({ }^{7} C_{3}=35\) ways.
The Jaguars can select the 2 players they want out of remaining 4 players in \({ }^{4} C_{2}=6\) ways.
The Panthers can select the 2 players from remaining 2 in \({ }^{2} C_{2}=1\) ways.