Chapter 9.1, Problem 35E

Solution

To state: The number of possible distinguished outcomes when five dice are tossed simultaneously and all these dice are of different colors.

The number of possible outcomes when five dice are rolled is 7,776.

Given information:

Five dice are tossed simultaneously and all these dice are of different colors.

Explanation:

Number of dice rolled: 5

As each dice has 6 faces which are numbered from 1 to 6 and each number has equal possibility to turns up.

Then the number of possible outcome for each dice is: 6

Now the total possible outcomes for five dice are:

  $6\cdot 6\cdot 6\cdot 6\cdot 6=7,776$

Then the total number of distinguished outcomes for 5 dice is 7,776.