Question

Twelve athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed?

Answer 1

1320

Explanation:

We are given that

Total number of athelets are running in race=12

Total number of medals =3

We have to find the total possible number of ways can the 3 medals be distributed.

Total number of ways for choosen gold medal=12

Number of ways for choosen silver medal=11

Number of ways for choosen Bronze medal=10

Total number of possible ways=
`12* 11* 10=1320`

Hence, total number of possible ways in which 3 medals be distributed=1320