there are 8 railway stations along a rail line.in how many way can a train be stopped at 3 of these stations such that no two of them are consecutive?

Question

SAGAR SINGH - IIT DELHI · Answer

Dear student, The required number of ways=8P3 Use permutation

Srividya Reddy · Answer

No.of ways to select 3 stations among 8 stations = 8C3No.of possibilities of 3stations might be consecutive = 6No.Of possibilities of 2 stations among those 3 might be consecutive = 30So, resultant answer is 8C3 - 6 - 30 = 20

K R G Deepak Teja · Answer

Total No of way can a train be stopped= 8 c 3=42 let those eight stations be {1 2 3 4 5 6 7 8} {(1,2)(2,3)(3,4)(4,5)(5,6)(6,7)(7,8)} 7 {(1,2,3)(2,3,4)(3,4,5)(4,5,6)(5,6,7)(6,7,8)}No.Of waysof 2 stations among those 3 might be consecutive = 6 No.of ways of 3stations might be consecutive = therefore Ans is 42-(6+7)=20

Bhavini Korthi · Answer

The number of ways of selecting any 3 stations among the 8 stations = 8C3=56 The number of ways of selecting 3 stations in which all 3 stations are consecutive = 6 The number of ways of selecting 3 stations in which only 2 are consecutive = 2*5 + 5*4=30 Therefore the number of ways a train can be stopped at 3 stations such that no two of them are consecutive=56-6-30=20

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there are 8 railway stations along a rail line.in how many way can a train be stopped at 3 of these stations such that no two of them are consecutive?

there are 8 railway stations along a rail line.in how many way can a train be stopped at 3 of these stations such that no two of them are consecutive?

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