MyQuestionIcon

5

You visited us 5 times! Enjoying our articles? Unlock Full Access!

Permutation: n Different Things Taken r at a Time

There are p i...

Question

There are p intermediate stations on a railway line from Delhi to Amritsar. In how many way can a super-fast train stop at three of these intermediate stations if no two of them are to be consecutive?

Open in App

Solution

$(p - 3)$ non-stopping. There will be $(p - 3) + 1 = p - 2$ gaps where three stopping stations could be located.
$∴^{p - 2} C_{3}$ ways.

Suggest Corrections

thumbs-up

0

Similar questions

p

intermediate stations on a railway line from one terminus to other. In how many ways can a train stop at

3

of these intermediate stations such that no two of them are consecutive?

12

intermediate stations on a railway line from one terminus to another. Number of ways in which a train can stop at 5 of these intermediate stations, if no two of these stopping stations are to be consecutive

12

intermediate stations on a railway line between two stations. The number of ways that a train can be made to stop at

4

of these intermediate stations, no two of these halting stations being consecutive is

Q. There are 12 intermediate stations on a railway line between 2 stations. The numbers of ways that a train can be made to stop at 4 of these intermediate stations no two of these halting stations being consecutive is

p

intermediate stations on a railway line from one terminus to another. Let

^{(p - k)} C_{m}

be the number of ways a train can stop at

3

of these intermediate stations if no two of these stopping stations are to be consecutive.Find

k + m

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Permutations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Permutation: n Different Things Taken r at a Time

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon