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 ?
\(\large \color{black}{\begin{align} & \normalsize \text{There are 6 different letters and 6 correspondingly addressed envelopes.}\hspace{.33em}\\~\\ & \normalsize \text{If the letters are randomly put in envelopes ,what is the probablity that}\hspace{.33em}\\~\\ & \normalsize \text{exactly 5 letters go into the correct addressed envelope ?}\hspace{.33em}\\~\\ \end{align}}\)
P(5)=0 because it is impossible to have exactly 5 going into the correct envelope. The remaining (sixth) must be correct as well.
is answer 0
Montmort's matching problem....
but the condition when 6 letters are in the correct envelopes also includes 5 letters case.
\[\href{ https:///www.google.com/search?q=exactly&ie=utf-8&oe=utf-8 }{\Huge\sf Exactly}\]
anyway but the answer given in book is zero.
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.
oh lol
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