Question
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
Answer: Option B
WE CAN INITIALLY ARRANGE THE SIX BOYS IN 6! WAYS.
HAVING DONE THIS, NOW THREE ARE SEVEN PLACES AND SIX GIRLS TO BE ARRANGED. THIS CAN BE DONE IN ⁷P₆ WAYS.
HENCE REQUIRED NUMBER OF WAYS = 6! * ⁷P₆
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WE CAN INITIALLY ARRANGE THE SIX BOYS IN 6! WAYS.
HAVING DONE THIS, NOW THREE ARE SEVEN PLACES AND SIX GIRLS TO BE ARRANGED. THIS CAN BE DONE IN ⁷P₆ WAYS.
HENCE REQUIRED NUMBER OF WAYS = 6! * ⁷P₆
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