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Math

Probability

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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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Question

12 people are having a dinner at a round table. What is the probability that two women don't sit next to each other, if there are 6 men and 6 women?

Expert Solution

Step 1 find the number of ways all can sit together

Since the total number of people are 12

The number of ways they can sit together is

12! = 479001600

#Now find the number of ways none two women can sit adjacent to each other .

Imagine a clock with 12 seats or chairs.

On the first chair is a man on the next chair is a women.

Repear this sitting arrangement and you will get a round table with men sitting adjacent to women and no women sitting adjacent to each other .

For reference see the answer seat uploader

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