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- mathmath333

There are 6 different letters and 6 correspondingly addressed envelopes.
If the letters are randomly put in envelopes ,what is the probablity that
exactly 5 letters go into the correct addressed envelope ?

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- mathmath333

- katieb

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- mathmath333

\(\large \color{black}{\begin{align}
& \normalsize \text{There are 6 different letters and 6 correspondingly addressed envelopes.}\hspace{.33em}\\~\\
& \normalsize \text{If the letters are randomly put in envelopes ,what is the probablity that}\hspace{.33em}\\~\\
& \normalsize \text{exactly 5 letters go into the correct addressed envelope ?}\hspace{.33em}\\~\\
\end{align}}\)

- mathmate

P(5)=0 because it is impossible to have exactly 5 going into the correct envelope. The remaining (sixth) must be correct as well.

- mathmath333

is answer 0

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- paki

Montmort's matching problem....

- mathmath333

but the condition when 6 letters are in the correct envelopes also includes 5 letters case.

- amilapsn

\[\href{
https:///www.google.com/search?q=exactly&ie=utf-8&oe=utf-8
}{\Huge\sf Exactly}\]

- mathmath333

anyway but the answer given in book is zero.

- mathmate

What @amilapsn meant is
"what is the probablity that \(\Large exactly\) 5 letters go into the correct addressed envelope." So 6 letters correctly placed is excluded.

- mathmath333

oh lol

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