MHT CET 2026 Mathematics question
If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the girls and no two girls are side by side is
Answer: (D)
Solution
Treat the 9 persons as distinct; total arrangements . Favourable: two girls at the two ends, chosen and arranged in ways. Arrange the 6 boys in ways; the 5 internal gaps between boys (not the end gaps) are available for the third girl, 5 ways, and she is then not adjacent to
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