Question

# Six boys and six girls sit in a row randomly. The probability that all girls sit together is

A

1122

B

1112

C

1102

D

1132

Solution

## The correct option is D 1132 Total number of ways in which six boys and six girls can be seated in a row = (12)! Taking all the six girls as one person, seven persons can be seated in a row in 7! ways. The six girls can be arranged among themselves in 6! ways. The number of wasy in which six boys and six girls can be seated in a row so that all the girls sit together = 7! × 6! Required probability = 7!×6!(12)! =72012×11×10×9×8=1132

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