10 people( consist of male and female ) seating in a table with 10 chairs, in how many ways we can choose 2 people out of 10 with condition that male and female are not seating next to each other. using addition rule find all the 2 people pair then substract from all the pair consist of male and female.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 41E
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10 people( consist of male and female ) seating in a table with 10 chairs, in how many ways we can choose 2 people out of 10 with condition that male and female are not seating next to each other. using addition rule find all the 2 people pair then substract from all the pair consist of male and female.

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