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mathmath333

  • one year ago

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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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} & \normalsize \text{There are 6 different letters and 6 correspondingly addressed envelopes.}\hspace{.33em}\\~\\ & \normalsize \text{If the letters are randomly put in envelopes ,what is the probablity that}\hspace{.33em}\\~\\ & \normalsize \text{exactly 5 letters go into the correct addressed envelope ?}\hspace{.33em}\\~\\ \end{align}}\)

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

  3. mathmath333
    • one year ago
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    is answer 0

  4. paki
    • one year ago
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    Montmort's matching problem....

  5. mathmath333
    • one year ago
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    but the condition when 6 letters are in the correct envelopes also includes 5 letters case.

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

  7. mathmath333
    • one year ago
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    anyway but the answer given in book is zero.

  8. mathmate
    • one year ago
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    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.

  9. mathmath333
    • one year ago
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    oh lol

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