Question

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

Answer 1

Answer:24 ways

Explanation:

Let
`n_(1)` be the number of ways for choosing first prize.

Let
`n_(2)` be the number of ways for choosing second prize.

Let
`n_(3)` be the number of ways for choosing third prize.

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

So,
`n_(1)=4`

Since the first prize is already decided,the second prize can be decided in
`4-1=3` ways.

So,
`n_(2)=3`

Since the first two prizes are already decided,the third prize can be decided in
`4-2=2` ways.

So,
`n_(3)=2`

Total number of ways is
`n_(1)* n_(2)* n_(3)=4* 3* 2=24 ways`