A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distributors, and a distributor may receive multiple orders. Find the probabilities of the following events. a)  All orders go to different distributors. b ) All orders go to the same distributor. c ) Exactly two of the three orders go to one particular distributor.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distributors, and a distributor may receive multiple orders. Find the probabilities
of the following events.
a)  All orders go to different distributors.
b ) All orders go to the same distributor.
c ) Exactly two of the three orders go to one particular distributor.

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