Problema Solution

Exactly 5 actors try out for the 5 parts in a movie. If each actor can perform any one part and no one will perform more than one part, how many different assignments of actors are possible?

Answer provided by our tutors

the first actor can chose any of the 5 parts


the second can chose any of the left 4 parts


the third actor can chose any of the 3 left parts


and so on


the last actor has one 1 part to chose thus


the number or different assignments is:


5*4*3*2*1 = 120.