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
B
16C3
C
20C3
D
NONE OF THESE

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 $$18C_3$$ waysMathematics

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