JEE Advance - Mathematics (1979 - No. 4)

Six boys and six girls sit in a row randomly. Find the probability that
(i) the six girls sit together
(ii) the boys and girls sit alternately.
The probability that the six girls sit together is 1/132.
The probability that the boys and girls sit alternately is 1/462.
The probability that the six girls sit together is 1/462.
The probability that the boys and girls sit alternately is 1/132.
Both probabilities cannot be determined.

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