Question

how many different ways can 12 racecars finish in first, second, and third place? (1 point) 1,728 36 220 1,320

Explanation:

Step1: Determine the number of choices for first place

There are 12 racecars, so there are 12 choices for first place.

Step2: Determine the number of choices for second place

After one car is chosen for first place, there are 11 cars left. So there are 11 choices for second place.

Step3: Determine the number of choices for third place

After two cars are chosen for first and second place, there are 10 cars left. So there are 10 choices for third place.

Step4: Calculate the total number of ways

Using the permutation formula \(n\times(n - 1)\times(n - 2)\) (where \(n=12\)), we have \(12\times11\times10=1320\)

Answer:

1,320