What is the probability that Bo Colleen Jeff and Rohini win

What is the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing if 50 people enter a contest and ...

no one can win more than one prize.

winning more than one prize is allowed.

Solution

when no one can win more than one prize.

the required probanility will be 1/50x1/49x1/48x1/47=1/552720

when winning more than one prize is allowed=1/50x1/50x1/50/x1/50=1/6250000