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  •  There are 9 chairs placed along a row. If there are 5 girls and 4 boys, then in how many ways can they sit such that all girls sit together and all boys sit together&nbs

 There are 9 chairs placed along a row. If there are 5 girls and 4 boys, then in how many ways can they sit such that
all girls sit together and all boys sit together 

Option: 1

120


Option: 2

60


Option: 3

90


Option: 4

!2!4!5


Answers (1)

best_answer

 Put all the girls in one box and the boys in another box 5 \mathrm{G} \ \ 4 \mathrm{B}.
These two boxes can be arranged in 2 ! ways. In first box, the 5 girls will arrange themselves in 5 ! ways and in other box, the boys will rearrange themselves in 4! ways.
\therefore Total number of ways  =2 ! 5 ! 4 !

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vinayak

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