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sritama Group Title

Three married couples arrange a party. They arrive at the party one at a time, the couples not necessarily arriving together. They all, upon arriving, shake the hand of everyone already there, except their own spouse. When everyone has arrived, someone asks all the others how many hands they shook upon arriving, and gets five different answers. How many hands did he himself shake upon arriving?

  • 2 years ago
  • 2 years ago

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  1. experimentX Group Title
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    ?? five different answers ??

    • 2 years ago
  2. JoshDavoll Group Title
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    5 ?

    • 2 years ago
  3. sritama Group Title
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    five..

    • 2 years ago
  4. FoolForMath Group Title
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    The answer is he shook 2 people's hands.

    • 2 years ago
  5. Arnab09 Group Title
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    how?

    • 2 years ago
  6. Arnab09 Group Title
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    @FoolFor, how could u get the answer?

    • 2 years ago
  7. experimentX Group Title
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    must be six .. because there are 3 couples .. and this seventh person is an outsider

    • 2 years ago
  8. FoolForMath Group Title
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    This is a very old combinatoric puzzle.

    • 2 years ago
  9. experimentX Group Title
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    but i there were 3 couples and they shook each other hand .. except of their own spouse ... they they must have shaken hand 4 times ... each of them ...but why 5 different answers would come??

    • 2 years ago
  10. experimentX Group Title
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    @JoshDavoll if the person was insider .. then answer must be 4

    • 2 years ago
  11. apoorvk Group Title
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    he asked 5 people means including him, there were 6. that means he was the last to arrive. so, he shook 4. he didnt shake his own hands definitely, and definitely not with his spouse.

    • 2 years ago
  12. eigenschmeigen Group Title
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    the answer is 2

    • 2 years ago
  13. apoorvk Group Title
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    yeah, if he was the insider as you say.

    • 2 years ago
  14. eigenschmeigen Group Title
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    i have a solution, gimme a sec

    • 2 years ago
  15. inkyvoyd Group Title
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    @FoolForMath is probably correct.

    • 2 years ago
  16. FoolForMath Group Title
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    http://www.gottfriedville.net/mathprob/misc-shakes2.html

    • 2 years ago
  17. eigenschmeigen Group Title
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    he asked them after all this happened, i think you misunderstand

    • 2 years ago
  18. eigenschmeigen Group Title
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    number the couples 1 , 2 , 3

    • 2 years ago
  19. eigenschmeigen Group Title
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    so m1 is male from couple 1 , and f1 is female from couple 1

    • 2 years ago
  20. eigenschmeigen Group Title
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    etc etc

    • 2 years ago
  21. experimentX Group Title
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    if he asked without shaking hand .. and the pair couple shook hand 3 times while the unpaired couple shook 4 times

    • 2 years ago
  22. eigenschmeigen Group Title
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    first to arrive is m1, he shakes 0 peoples hands second is m2 he shakes 1 third is m3 he shakes 2 fourth is f1 she also shakes 2 fifth is f2 she shakes 3 sixth is f3 she shakes 4 the asker is either m3 or f1 , and they get 5 different answers

    • 2 years ago
  23. JoshDavoll Group Title
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    Ah i get it now, thanks for explaining it :)

    • 2 years ago
  24. experimentX Group Title
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    how many hands ON ARRIVING?? i think i understood the question now.

    • 2 years ago
  25. eigenschmeigen Group Title
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    of course we haven't checked thats the only solution, but you can change around the numbers to get a solution that looks different but is the same

    • 2 years ago
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