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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationArrangement under ConstraintMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

There are n intermediate stations on a railway line from one terminus to another. In how many ways can the train stop at 3 of these intermediate station if

All the three stations are consecutive

Options:

Answer:

Solution:

The number of triples of consecutive stations, namely

$S_{1} S_{2} S_{3}$ , $S_{2} S_{3} S_{4}$ , $S_{3} S_{4} S_{5}$ , ..., $S_{n - 2} S_{n - 1} S_{n}$ , is $(n - 2)$ .

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Arrangement under Constraint

⏱ 2mℹ️ Source: QB

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