Question

How many ways can four men and four women can be seat in a row such that no two men sit next to each other

Answer 1

There are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.

Organization

To determine in how many ways can four men and four women can be seat in a row such that no two men sit next to each other, the following organizational chart must be made:

• M - W - M - W - M - W - M - W = 1
• W - M - W - M - W - M - W - M = 2
• Any other mode of organization will assume the presence of two men sitting next to each other.

Therefore, there are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.

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