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IPMAT Indore 2024 - QA (MCQ) Q21 Explanation
November 24, 2024
Explanation:
(a) “At Least one boy sitting between any two girls” can be inferred as “No two girls should sit together”.
First, arrange 5 boys around a circular table. This can be done in (5 – 1)! = 4!
Now, there are 5 gaps available where we can make 3 girls sit in 5𝑃3 ways.
In this arrangement, no two girls will be sitting together.
Total ways = 4! × 5𝑃3.
Probability = 4! × 5𝑃3/7! = 4! × 5!/7! ×2! = 4! ×5!/7×6 ×5! ×2 = 24/7×6 ×2 = 2/7 Ans.