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 h…

Question

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

Accepted Answer

Correct answer: A. (a) 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 = ^8C_3=56

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

Solution

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