SOLUTION: A high school football team has 2 centers, 9 linemen, 2 quarterbacks, 5 halfbacks, 5 ends, and 6 fullbacks. The coach uses 1 center, 4 linemen, 2 ends, 2 halfbacks, 1 quarterback,

Algebra ->  Permutations -> SOLUTION: A high school football team has 2 centers, 9 linemen, 2 quarterbacks, 5 halfbacks, 5 ends, and 6 fullbacks. The coach uses 1 center, 4 linemen, 2 ends, 2 halfbacks, 1 quarterback,       Log On


   



Question 1140745: A high school football team has 2 centers, 9 linemen, 2 quarterbacks, 5 halfbacks, 5 ends, and 6 fullbacks. The coach uses 1 center, 4 linemen, 2 ends, 2 halfbacks, 1 quarterback, and 1 fullback to form an offensive unit. In how many ways can the offensive unit be selected?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2 possibilities for center
9C4 for linemen (126)
5C2 for ends (10)
5C2 for halfbacks (10)
2 for quarterbacks
6 for fullbacks
product is 2400*126=302,400 ways