mathmath333
  • 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 ?
Mathematics
katieb
  • katieb
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mathmath333
  • 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
  • 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
  • mathmath333
is answer 0

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paki
  • paki
Montmort's matching problem....
mathmath333
  • mathmath333
but the condition when 6 letters are in the correct envelopes also includes 5 letters case.
amilapsn
  • amilapsn
\[\href{ https:///www.google.com/search?q=exactly&ie=utf-8&oe=utf-8 }{\Huge\sf Exactly}\]
mathmath333
  • mathmath333
anyway but the answer given in book is zero.
mathmate
  • 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
  • mathmath333
oh lol

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