There are 10 intermediate stations on a railway line between two particular stations. The number of ways…
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
56
20
126
120
Solution
Given that, there are 10 intermediate stations between two particular stations.
Here, the train stops at only 3 stations and no two of them should be consecutive.
Therefore, there are 8 stations to select these 3 stations.
Hence, number of ways $={ }^8 C_3=56$