Circular Permutation and Probability
CMAT 2025 · Quantitative Techniques & Data Interpretation · Hard · Quantitative Aptitude
20 girls, among whom are A and B sit down at a round table. The probability that there are 4 girls between A and B is
- A.
- B.
- C.
- D.
Answer
A
Explanation
Fix the position of girl A at the round table. There are 19 remaining seats for girl B. For there to be exactly 4 girls between A and B, B can sit either 5 places clockwise or 5 places counter-clockwise from A. Thus, there are 2 favorable seats for B out of 19.
Probability = .
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