How do I solve the following problem?
How many ways can a football team of 9 be arranged if the kicker must be in the middle?
1 Answer | Add Yours
Here is a visual way to do it. Imagine each blank is a player's position:
___ ___ ___ ___ kicker ___ ___ ___ ___
The kicker position is taken, the other 8 can fit into the other spaces.
8 * 7 * 6 * 5 * 1(kicker) * 4 * 3 * 2 * 1 = 40,320 arrangements
Another way to do this is using a permutation - an ordered arrangement in which no objects can be repeated.
Use a permutation of 8 instead of 9 because the kicker position is already taken.
8! = 40,320 arrangements
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes