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In How Many Different Ways Can 5 Girls And 5 Boys Form A Circle Such That The Boys And The Girls Alternate?

Answer»

Around a circle, 5 boys can be ARRANGED in 4! ways.

Given that the boys and the GIRLS alternate.

Hence there are 5 places for the girls. THEREFORE the girls can be arranged in 5! ways.

TOTAL number of ways

=4!×5!=24×120=2880.

Around a circle, 5 boys can be arranged in 4! ways.

Given that the boys and the girls alternate.

Hence there are 5 places for the girls. Therefore the girls can be arranged in 5! ways.

Total number of ways

=4!×5!=24×120=2880.



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