SOLUTION: Suppose that five uniquely colored​ dice, each with four numbered​ sides, are rolled. How many different outcomes are possible for the set of​ dice?

Let the colors be Red (R), Yellow (Y), Green (G), Blue (B) and White (W);

Let the numbers on the sides (on the faces) be 1, 2, 3 and 4.


Then the space of outcomes is the space of all pairs  (C,n),  where C is one (any) of five letters symbolizing a color,

and n is one (any) of numbers 1, 2, 3 and 4.


The total number of elements (of events) in the outcomes space (= in the event space) is  5*4 = 20.