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Question

There are 12 intermediate stations on a railway line between 2 stations. The numbers of ways that a train can be made to stop at 4 of these intermediate stations no two of these halting stations being consecutive is


A
125
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B
126
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C
127
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D
130
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Solution

The correct option is B 126
We need to select 4 intermediate station such that no two of these be consecutive
Required ways $$ ^{(12-4+1)C_4}= $$$$^9C_4=126$$

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