Respuesta :

jbmow
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600

Answer:

Hence, the number of ways are:

117600

Step-by-step explanation:

There are 50 runners in a race.

The number of ways can the runner finish first, second and third is:

we have to apply permutation since we have to choose 3 players out of the 50 players who are in a race and arrange them according to their ranks as well.

Hence, the number of ways it could be done is:

[tex]50_{P_3}=\dfrac{50!}{(50-3)!}\\\\50_{P_3}=\dfrac{50!}{47!}\\\\50_{P_3}=50\times 49\times 48\\\\50_{P_3}=117600[/tex]

Hence, the number of ways are:

117600