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There are 6 letters and 6 addressed enve...

There are 6 letters and 6 addressed envelopes. Find the probability that at least one letter goes into the wrong envelope.

Text Solution

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Six letters can be put in 6! Ways
(`because` First letter can be put in 6 ways, second letter in 5 ways and so on )
`therefore` Total no. of elementary events = 6!
All the 6 letters can be put in currect envelopes in exactly on way.
`therefore` Probability that a least one letter goes into the wrong envelope `=1-(1)/(6!)=(719)/(720)`
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