Question

The number of ways in which 5 boys and 5 girls can be seated for a photograph, so that no two girls sit next to each other is :

Answer 1

Answer:

Step-by-step explanation:

• Given
• The number of ways in which 5 boys and 5 girls can be seated for a photograph, so that no two girls sit next to each other is
• Five boys can be arranged in 5! Ways.
• Now there are 6 places and 5 girls are to be arranged. This can be done in 6 P 5 ways.
• Therefore required number of ways will be 5! x 6P5 ways
•                                          = 5! x 6! / (6 – 5)!
•                                          = 5! x 6!
• Hence number of ways in which no two girls sit together will be 5! x 6! ways.