Use the Fundamental Counting Principle
-In how many ways can 6 players be assigned to 6 positions on a baseball team, assuming that any player can play any position?
A) 720 ways
B) 360 ways
C) 1440 ways
D) 30 ways

Question

Quizplus · Accepted Answer

The Fundamental Counting Principle states that if there are n ways to do something, and m ways to do another thing after that, then there are n * m ways to do both. For assigning 6 players to 6 positions, the first player has 6 choices, the second has 5 (since one position is taken), and so on, down to 1 choice for the last player. This gives us 6 * 5 * 4 * 3 * 2 * 1 = 720 ways.