Question

You are determining the batting order for 5 players on a 12 person team. You have narrowed the choices forthe first position to 3 players and the second position to 4 players. How many 5-person line-ups are nowpossible?Using the Fundamental Counting Principle

Answer 1

1114

Explanation:

Answer 2

Step 1 - line up the 5 players : 5! = 120 ways

Step 2 - position the first player : 3 ways

Step 3 - position the second player : 4 ways

So we have:

`120\cdot3\cdot4\text{ = }1140`