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Question

Six boys and six girls sit in a row randomly.

The probability that all girls sit together is



Your Answer
A

1122

Your Answer
B

1112

Your Answer
C

1102

Correct Answer
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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