Question

9 people are in a footrace. The first-place runner will receive $500 second place $200 and third place $100 How many ways can money be awarded?

Answer 1

There are total 9 people are in a footrace.

And

The first-place runner will receive $500 second place $200 and third place $100

i.e. Only 3 people will be awarded with rank

Here Rank is important and without replacement

Hence we use Permutation

Total number of ways money be awarded is,

Thus Total number of ways money be awarded is 504

OR

There are 9 option for first price

and 8 options for second price and 7 options for third price

Therefore total number of ways money be awarded is = 9*8*7 =504 ways