COMEDK · Maths · 36. Probability
6 boys and 6 girls in a row at random. The probability that all the girls sit together is
- A \(\frac{1}{432}\)
- B \(\frac{12}{431}\)
- C \(\frac{1}{132}\)
- D None of these
Answer & Solution
Correct Answer
(C) \(\frac{1}{132}\)
Step-by-step Solution
Detailed explanation
6 boys and 6 girls sit in a row in 12 ! ways. Number of ways when all six girls sit together \(=7 ! \times 6 !\) Required probability \(=\frac{7 ! \times 6 !}{12 !}=\frac{1}{132}\)
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