Latest TCS Aptitude Question SOLUTION: 15 people sit round a circular table what are the odds against two particular people sitting together. (a)7:1 (b)6:1 (c)5:1 (d)1:5

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(#M40024724) TCS Numerical Ability question Keep an EYE

15 people sit round a circular table what are the odds against two particular people sitting together.
(a)7:1
(b)6:1
(c)5:1
(d)1:5

Asked In TCS ashokkumar (10 years ago)

Unsolved Read Solution (9)

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Read Solution (9) :

Bailore Pradyumna Acharya  (10 years ago)

ans is 6:1
odds agianst an event=
(possibilities of event not happenning)/(possibilities of event happening)
=possibilities that 2 people are not togeather/possi that they are togeather
= (14!-2*13!)/(2*13!)
= 6:1

Is this solution Helpfull? Yes (70) | No (1)  

tejaswi chitta  (10 years ago)

@SUJITHA MADDULA
in circular arrangement total no.of possiblities are (n-1)!
her two particular people should sit together
so we consider them as single person so total no.of people are 14
and no.of arrangements possible are (14-1)! = 13!
now the 2 people who are should be together can be arranged in 2 ways
so total no.of possiblilities that they are together are 2*13!

Is this solution Helpfull? Yes (12) | No (1)  

Bailore Pradyumna Acharya  (10 years ago)

if n people are in circular fashion,the number of arrangements possible are
(n-1)! but not n!.So,the possi that the two are togeather is (14-1)!*2! but not 14!*2!@LAXMI

Is this solution Helpfull? Yes (6) | No (2)  

LAXMI DURAI  (10 years ago)

plz clear tis doubt @BAILORE...
2 people are sitting together then possi for that they are together is 14!*2! then how 13!*2!....

Is this solution Helpfull? Yes (5) | No (4)  

praneeth  (10 years ago)

odds against an event=no of unfavorable choices/favourable choices
((14!-2*13!)/(2*13!))=6/1=6:1

Is this solution Helpfull? Yes (3) | No (1)  

sujitha maddula  (10 years ago)

can u explain what is the 2*13! @bailore pradyumna acharya

Is this solution Helpfull? Yes (2) | No (3)  

revanth  (10 years ago)

the all independent people can sit themselves in 14! ways in circular arrangement
when 2 people sit together take as 1 unit the remaining 13+1 unit is arranged in 13 ways and 2 people among themselves 2! ways ratio of 1&2 we get 7:1

Is this solution Helpfull? Yes (1) | No (1)  

basanagouda  (10 years ago)

ok..i understand the logic but can anybody explain me how (N-1)!number of ways are there for N people sitting in circular

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anil kumar  (7 years ago)

7:1 because all people sit around a round table if any two particular people selected as sitting to gether remaining odds are only 7

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