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At the banquet of a large conference 'n' people hang their coats on the coat-rack as they enter.At the end of the night,they leave in a drunken stupor,each one randomly putting on a coat without checking that it's their own.The probability that none of the people staggers home in their own coat as n--> infinity is
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6 Answers
62well krish this comes from inclusion exclusion principle which is a bit difficult to understand for a lot of people ...
It is also most unlikely to be a part of IIT JEE syllabus but a part of an Olympiad question. Dont worry if u cant get this one..
You can give it a slip :)
Cheers :)
62Yeah u have essentially used the same principle if i am not wrong
Reqd No of ways =
n! - n(n-1)! + n(n-1)/2 . (n-2)! +.... +(-1)r nCr (n-r)! ...............
Total no of ways =n!
also nCr (n-r)! = n!/r!
Then take the limit of this when n goes to infinity
Probab = the value given by u :)
Cheers :)