Official Quant thread for CAT 2013

@ScareCrow28 said:
A queue of n + m people is waiting at a box office; n of them have 5-pound notes and m have 10-pound notes. The tickets cost 5 pounds each. When the box office opens there is no money in the till. If each customer buys just one ticket, what is the probability that none of them will have to wait for change?
1/3 :splat:
@Brooklyn said:
@ScareCrow28[(n!*m!) + ((n+1) P m * n!) ]/(n+m)!
@ScareCrow28 : wats wrong with mine??
@rachit_28 said:
1/3
You again took one of the cases..right? :P
@Brooklyn said:
@ScareCrow28 : wats wrong with mine??
I cant tell how you reached at that equation..thoda explain karo to pta chale shayad mistake kaha hui

(n-m)/(n+m) kaise ho sakta hai??? If n=m, then probability comes 0 by this...In actuality it is not so...I am getting this as the answer when n is different from m

@ScareCrow28 said:
I cant tell how you reached at that equation..thoda explain karo to pta chale shayad mistake kaha hui
i did ws : ways of ordering all people= (n+m)!

ordering all n poeple first and den m people= n!*m!

ordering n and m people alternatively = (n+1)P m *n!

den made probab out of it.
@Brooklyn said:
i did ws : ways of ordering all people= (n+m)!ordering all n poeple first and den m people= n!*m!ordering n and m people alternatively = (n+1)P m *n!den made probab out of it.
There are more cases than that...

N N M M N N, N N M N M M and many more
@ScareCrow28 said:
A queue of n + m people is waiting at a box office; n of them have 5-pound notes and m have 10-pound notes. The tickets cost 5 pounds each. When the box office opens there is no money in the till. If each customer buys just one ticket, what is the probability that none of them will have to wait for change?
n/(m+n)?
@ayushnasa said:
There are more cases than that...
wat more cases??
@Brooklyn said:
wat more cases??
Edited^^ check again..N are 5 pound people, M are 10 pound people...I just took an example of 6 people up there
@ScareCrow28 said:
You again took one of the cases..right?
infact that is easier to think

consider 3 persons n(2)+m(1) = 3 ,

n= a,b
m=c

total line arrangement possible = 3*2*1 = 6

abc
acb
bca
bac
cab
cba

except in last two cases.. in all other cases theres is no need to wait for change

hence 4/6 = 2/3 = 2m/n+m

(please correct if there is anything wrong)

@ScareCrow28 And first things first, is there any way we can get this level questions in IIFT??
@Brooklyn said:
i did ws : ways of ordering all people= (n+m)!ordering all n poeple first and den m people= n!*m!ordering n and m people alternatively = (n+1)P m *n!den made probab out of it.
You cant say that all "n" are before m or "n" and "m" are alternately only... There can be more cases than that..
@ScareCrow28 said:
You cant say that all "n" are before m or "n" and "m" are alternately only... There can be more cases than that..
wots da final answer in n.m terms ? also please check my soln above..
@catter2011 said:
infact that is easier to thinkconsider 3 persons n(2)+m(1) = 3 ,n= a,bm=ctotal line arrangement possible = 3*2*1 = 6abcacbbcabaccabcbaexcept in last two cases.. in all other cases theres is no need to wait for changehence 4/6 = 2/3 = 2m/n+m(please correct if there is anything wrong)
bhai fir toh 2n/m+n hona chayiye naa ?
@rachit_28 said:
bhai fir toh 2n/m+n hona chayiye naa ?
kaise.. 2/3 = 2*1/(2+1) = 2m/n+m, here n=2,m=1.
@catter2011 @rachit_28 Bhaiyo, aise hi answers par mat pahucho...Check for 1 or more cases first...Agar 6 log hai, n=2 and m=4 aise me thode hi fit hoga??
@ayushnasa said:
@ScareCrow28 And first things first, is there any way we can get this level questions in IIFT??
I don't think that probability se itne tough questions aa sakte h..but i do think that IIFT has a few personal favourite topics jisme se wo tough questions puch sakte hai.. BTW You only asked for more questions 😛 I can stop anytime you want
@catter2011 said:
wots da final answer in n.m terms ? also please check my soln above..
OA: (n-m)/(n+m)
@ScareCrow28 said:
I don't think that probability se itne tough questions aa sakte h..but i do think that IIFT has a few personal favourite topics jisme se wo tough questions puch sakte hai.. BTW You only asked for more questions I can stop anytime you want
Ruko mat...These hard question do help 😉 Inse hi dimaag kick start hota hai...I just wanted to confirm...1st time de rha hu :p