Question

There are 8 runners in a race. What is the probability that Abby, Becca, and Carmen place first, second, and third in any order?

Answer 1

Well there are equally 8 runners in the race , and abby and becca and carmen are three of them . now the chances of them getting first , second , and third would be 3 out of 8 or 3 over 8 .

Answer 2

$|\Omega|=8!\\ |A|=3!\cdot5!\\\\ P(A)=\dfrac{3!5!}{8!}=\dfrac{2\cdot3}{6\cdot7\cdot8}=\dfrac{1}{56}\approx1,8\%$