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- In how many ways can 5 boys and 4 girls be seated in a row, so that they alternate?
Question 1:
In how many ways can 5 boys and 4 girls be seated in a row, so that they alternate? A. 5!
B. 5!×2!
C. 4!×5!
Feedback B G B G B G B G B. There are five places i.e. 1st , 3rd, 5th ,7th and 9th for five boys. Five boys can be seated in 5! ways. Again there are four places i.e. 2nd, 4th, 6th, 8th for four Girls.
∴ four girls can be seated in 4! ways;
∴ Required number = 5!4!
∴ four girls can be seated in 4! ways;
∴ Required number = 5!4!
D. None of these
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