AP EAMCET · Maths · Permutation Combination
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
- A 56
- B 20
- C 126
- D 120
Answer & Solution
Correct Answer
(A) 56
Step-by-step Solution
Detailed explanation
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 \(={ }^8 C_3=56\)
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