Question

A train is running from station A to station B.
7 people enter the train between A and B.
9 stops are their between A and B.
In how many ways can the tickets be purchased
if no restriction is their with respect to number
of tickets .2 people donot buy the same ticket .

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{ A train is running from station A to station B.}\hspace{.33em}\\~\\
& \normalsize \text{ 7 people enter the train between A and B. }\hspace{.33em}\\~\\
& \normalsize \text{ 9 stops are their between A and B.}\hspace{.33em}\\~\\
& \normalsize \text{ In how many ways can the tickets be purchased}\hspace{.33em}\\~\\
& \normalsize \text{ if no restriction is their with respect to number}\hspace{.33em}\\~\\
& \normalsize \text{ of tickets .2 people donot buy the same ticket .}\hspace{.33em}\\~\\
& a.)\ 45C7 \hspace{.33em}\\~\\
& b.)\ 63C7 \hspace{.33em}\\~\\
& c.)\ 56C7 \hspace{.33em}\\~\\
& d.)\ 52C7 \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

I remember doing this problem a few days back..
you mathmate and me

Answer 3

"I remember doing this problem a few days back..
you mathmate and me"

by that logic answer should be 55C7 which is not in options

Answer 4

9 stations between A and B from where passengers get on.
So there are 9+8+7+6+5+4+3+2+1=45 ways to buy tickets, depending on where the passenger gets on.
Now there are 7 passengers, so can you do the rest?

Answer 5

why did u exclude last station B . It should be total 10 stations.

Answer 6

You don't need a ticket to go from B to B!

Answer 7

Oh, if you mean getting on at A, that's also excluded, it says passengers get on between A and B.

Answer 8

i m sill confused as what this question asks

Answer 9

Example:

Say there are 3 stations between A and B, AND if passengers get on at the intermediate stations ONLY, then the number of tickets equal
Numbers like #2 means second station after A.
3 (#1-#2, #1-3,#1-B)+
2 (#2-#3, #2-B) +
1 (#3-B)
=6
If there are 3 passengers, then there are 6C3 ways to buy tickets.

Answer 10

so we don't know how many station exactly there between A and B but at least there is 9

Answer 11

9 stops mean 9 stations

Answer 12

-.- hehehe sorry i missread

Answer 13

the answer is A 45C7

Answer 14

9! =45

Answer 15

wait i didnt read the last part about 2 ppl not buying the same ticket

Answer 16

answer given in book is 45c7

Answer 17

yea i was thinking 2 pp not buying the same ticket wont matter

Answer 18

so yea basically 9+8+7+6+5+4+3+2+1=45 and there is 7 passengers so 45C7