There are 4 cyclists in a race. there will be a first place, second place and a third place prize awarded. in how many ways can the 3 prizes be awarded

24 ways

Step-by-step explanation:

Let be the number of ways for choosing first prize.

Let be the number of ways for choosing second prize.

Let be the number of ways for choosing third prize.

The first prize can be decied in ways beacuse there are cyclists.

So,

Since the first prize is already decided,the second prize can be decided in ways.

So,

Since the first two prizes are already decided,the third prize can be decided in ways.

So,

Total number of ways is

true

step-by-step explanation: