Question

In a race in which five automobiles are entered and tehre are no ties, in how many ways can the first three finishers come in/

Answer 1

Answer:  The required number of ways is 60.

Step-by-step explanation:  Given that there are five automobiles entered in a race and there are no ties.

We are to find the number of ways in which the first three finishers come in.

Since there are 5 automobiles entered in the race, so the number of ways in which first finisher come in is 5.

Now, there are no ties, so the number of ways in which second and third finisher come in are 4 and 3 respectively.

Therefore, the total number of ways in which the first three finishers come in is

$n=5\times4\times3=60.$

Thus, the required number of ways is 60.

Answer 2

there are 5 ways for 1st place, then there would be 4 ways for 2nd place, then 3 ways for third

5*4*3 = 60 different ways