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Question

There are m-stations on a railway line. A train has to stop at 3 intermediate stations. Then probability that no two stopping stations are adjacent is

A
1mc3
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B
3mc3
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C
m2C3mc3
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D
mc2mc3
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Solution

The correct option is C m2C3mc3
Let 3-stopping stations be S1,S2,S3. Then there are m-3 stations remaining. Between these m-3 stations there are m-2 places. Select any 3 for S1,S2,S3, Then no two stopping stations are adjacent
P(E)=m2C2mC3

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