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sritama

  • 2 years ago

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?

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  1. experimentX
    • 2 years ago
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    ?? five different answers ??

  2. JoshDavoll
    • 2 years ago
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    5 ?

  3. sritama
    • 2 years ago
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    five..

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

  5. Arnab09
    • 2 years ago
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    how?

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

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

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

  9. experimentX
    • 2 years ago
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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??

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

  11. apoorvk
    • 2 years ago
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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.

  12. eigenschmeigen
    • 2 years ago
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    the answer is 2

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

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

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

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

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

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

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

  20. eigenschmeigen
    • 2 years ago
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    etc etc

  21. experimentX
    • 2 years ago
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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

  22. eigenschmeigen
    • 2 years ago
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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

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

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

  25. eigenschmeigen
    • 2 years ago
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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

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