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?

^{18} C_{3}

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^{16} C_{3}

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^{20} C_{3}

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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 $18 C_{3}$ ways

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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?

The correct option is D 18C3Let us choose 17 stations where train should not stop rest 3 can be filled in 18 blank ppsition in 18C3 ways

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 $18 C_{3}$ ways