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there are p intermediate railway stations on a route from one terminus to other number of ways in which a train can be stopped at 3 station is no two station are consecutive is

there are p intermediate railway stations on a route from one terminus to other number of ways in which a train can be stopped at 3 station is no two station are consecutive is

Grade:11

1 Answers

Arun
25750 Points
5 years ago
For p>=5, 
1st method(stick and stones)-imagine you have p-3 stations,in the gaps you imagine a stick ,so there will p-2 sticks, from these choose 3.
So answer is (p-2)C3.
 2nd method- total pc3 and subtract (3 consecutive + 2 consecutive)

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