Question 381212
There are 7P3 = 7!/(7-3)! = 7!/4! = (7*6*5*4!)/4! = 7*6*5 = 210 different ways to assign 3 prizes to seven students and there is only one way that Alicia will win first prize, Pat will win second prize, and David will win thrid prize.



So this means that the probability is {{{1/210}}} which is approximately 0.00476 (ie about a 4.76% chance)