There are 8 people named A ; 4 people named B and 3 people named C.  They form a line in a random order.  Find the probability that two people standing next to each other do not have the same name.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 11CT: Three people are chosen at random from a group of live men and ten women. What is the probability...
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There are 8 people named A ; 4 people named B and 3 people named C. 

They form a line in a random order. 

Find the probability that two people standing next to each other do not have the same name.

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