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Question: Answered & Verified by Expert
6 boys and 6 girls in a row at random. The probability that all the girls sit together is
MathematicsProbabilityCOMEDKCOMEDK 2015
Options:
  • A $\frac{1}{432}$
  • B $\frac{12}{431}$
  • C $\frac{1}{132}$
  • D None of these
Solution:
2142 Upvotes Verified Answer
The correct answer is: $\frac{1}{132}$
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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