Question

There are 5 cyclists in a race. There will be a first-place, a second-place, and a third-place prize awarded. In how many different ways can the 3 prizes be awarded?

Answer 1

Total number of cyclists = 5

And total number of prizes = 3

We have to find number of different ways can the 3 prizes be awarded .

For the first price , we have 5 options, for the second prize, we have 4 options and for the third prize, we have three options.

So total number of ways are

$=5*4*3 = 60$