Question

1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and third place be chosen?​

Answer 1

Answer:

1320

Step-by-step explanation:

Any of the 12 athletes can claim first place, so the first place can be chosen in 12 ways. Of the remaining 11 athletes, any of them can claim 2nd position, so second position can be chosen in 11 ways and lastly any of remaining 10 players can come third.

So total number of ways is 12 x 11 x 10= 1320

Answer 2

Answer:

The total ways in which the first, second and third placed participants can be chosen is found to be: $1320$

Step-by-step explanation:

The total number of participants in the race is given to be as: $12$

Moving place by place, we can easily say that any of the $12$ participants can finish at first place,

Eliminating the participant finishing first, we can say that $11$ of the participants can finish at the second place,

Similarly, eliminating both the first and second place participants, we can say $10$ participants can finish third,

Thus, the total ways, $x$, in which the places can be chosen are:

$x=12*11*10$

$x=1320$