A manufacturer has 9 distinct motors in stock, 2 of which come from a particular supplier. The motors must be divided among three production lines, with 3 motors going to each line line. If the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line?

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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A manufacturer has 9 distinct motors in stock, 2 of which come from a particular supplier. The motors must be divided among three production lines, with 3 motors going to each line line. If the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line?

(Having difficulty understanding steps with solving the problem, please explain what using of permutations, combinations, factorials and why as well as what the permutation/combination/factorial you are using represents in context of the problem)

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