Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

1.	The number of ways in which 5 men and 3 women are to be seated at a round table so that no two women are to sit together is:1. 5!×5P32. 4!×5P33. 4!×6P34. None of these
Answer» Correct Answer - Option 2 : 4!×5P3 Concept: n different objects are arrangedaround a circle, then the number of arrangements is (n – 1)! Calculation: First, arrange 5 men at the round table in (5 - 1)! ways = 4! Now, women sit on the 5 spaces generated between the men This can be done in 5P3 ways Hence the total number of ways is = 4!×5P3

The number of ways in which 5 men and 3 women are to be seated at a round table so that no two women are to sit together is:1. 5!×5P32. 4!×5P33. 4!×6P34. None of these

Answer» Correct Answer - Option 2 : 4!×5P3

Concept:

n different objects are arrangedaround a circle, then the number of arrangements is (n – 1)!

Calculation:

First, arrange 5 men at the round table in (5 - 1)! ways = 4!

Now, women sit on the 5 spaces generated between the men

This can be done in 5P3 ways

Hence the total number of ways is = 4!×5P3

Discussion