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

`|\Omega|=8!\\ |A|=3!\cdot5!\\\\ P(A)=(3!5!)/(8!)=(2\cdot3)/(6\cdot7\cdot8)=(1)/(56)\approx1,8\%`