There are 14 men and 9 women. They are to be seated on 23 chairsin a row such that no two women sit next to each other. How manyways are possible?

Question

There are 14 men and 9 women. They are to be seated on 23 chairsin a row such that no two women sit next to each other. How manyways are possible?
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Solution 1

To solve this problem, we can use the concept of permutations and combinations.

Step 1: Arrange the 14 men first. They can be arranged in 14! ways.

Step 2: Now, we have 15 spaces (14 between the men and 1 on each end) where we can place the 9 women such that no two women are next to each other. 

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