1.

Five boys and four girls randomly stand in a line. Find the probability that no two girls come together.

Answer»

Solution :Five BODY and 4 girl randomly stand in a LINE such that no two girls come together.
`therefore absS=9 |`
The 4 girls can stand in 6 positions in `^6P_4` ways. Further 5 body can stand in 5 ! ways.
`therefore` PROBABILITY that they will stand in a line such that no two girls come together.
`=(51xx"^6P_4)/91=5/42`


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