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Question

There are 20 stations between stations A and B.In how many ways a train moving from station A to station B can stop at 3 station between A and B such that no two stopping stations are together?


A
18C3
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B
16C3
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C
20C3
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D
NONE OF THESE
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Solution

The correct option is D $$^{18}C_3$$
Let us choose 17 stations where train should not stop 
rest 3 can be filled in 18 blank ppsition in $$18C_3$$ ways

Mathematics

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