5 different color dice are rolled, and the numbers showing are recorded. How many different outcomes are possible?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5 different color dice are rolled, and the numbers showing are recorded. How many different outcomes are possible?
There are possible outcomes.

 

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5 different color dice are rolled and the numbers are recorded.

If two events E1 and E2 occur in order and E1 occur in mm ways and E2 occur in nn ways, then the two events can occur in order in m×n ways.

The consequence of the fundamental counting principle is for any number of events; that is, if E1, E2, E3….. EK are events that occur in order and E1 occur in n1 ways, E2 occur in n2 ways and so on, then the events can occur in order in n1×n2×.....×nK ways.

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