Q.

There are 10 intermediate stations on a railway line between two particular stations. The number of ways that a train can be made to stop at 3 of these intermediate stations so that no two of these halting stations are consecutive, is 
 

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a

120

b

26

c

56

d

20

answer is A.

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Detailed Solution

Total no.of stations = n=10

Number of non consecutive halting stations=3r=3

No.of ways of selecting 3 non consecutive stations = n-r+1Cr=8C3=56

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