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6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is

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6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is A. 1/432 B. 12/431 C. 1/132 D. none of these Select the correct answer from above options

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If all the girls sit together, then consider it as 1 group. Total number of persons = 6 + 1 = 7 persons ∴ Total number of arrangements in a row of 7 persons = 7! and the girls interchanges their seats in 6! ways. Hence, the correct option is (C).

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