A Standard Die is rolled 5 times, How many Different outcomes are possible?

The answer in the back of my textbook say's 7776, I have no clue as to how that is the answer.

- Oct 22nd 2009, 02:24 PMtjrustokA Standard Die is rolled 5 times, How many Different outcomes are possible?
A Standard Die is rolled 5 times, How many Different outcomes are possible?

The answer in the back of my textbook say's 7776, I have no clue as to how that is the answer. - Oct 22nd 2009, 04:43 PMRobb
Everytime you roll a die, 1 of 6 outcomes comes up. So for every die rolled there is 6 outcomes. Each roll is independent of the roll before, so for 5 rolls there are $\displaystyle 6^5=7776$ outcomes.