🌷🧚‍♀️ How many handshakes?

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Avatar of DumDolphin09

No it’s so easy, it obviously 47

Avatar of ZyzomysAbyss
Because each person shakes hands with the other 8 people, but we counted each handshake twice
Avatar of DumDolphin09

no I’m the only one that got it right

Avatar of ZyzomysAbyss
#32 says the one that has dumb in their name
Avatar of DumDolphin09

No its kelp cheese because lettuce sucks and dolphins don’t speak English, I’m using duolingo

Avatar of leankata
songdamei hat geschrieben:
Because each person shakes hands with the other 8 people, but we counted each handshake twice

Yeah my guy, that's why you have to use the binomial coefficient or you do the following math:

8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36 = ( 9 * 8 ) / 2

The first person has to shake 8 hands, the next person only has to shake 7 and so on. However, this equals the binomial coefficient. This is basic math.

This is the only correct solution @breezehappysquirrel.

Avatar of DumDolphin09

Okay now I feel dum

Avatar of ZyzomysAbyss
You don’t have to use fancy terms to get a good solution
Avatar of ZyzomysAbyss
Just solve it, the answer is what matters
Avatar of leankata
DumDolphinDoesChess465 hat geschrieben:

Okay now I feel dum

Here is a sketch of the 9 people, every person's handshakes have different colors. As you can see, the last person doesn't have to shake any hands, starting from the red one, who had to shake 9. It's all easier with sketches.

If you count all the handshakes you will notice that the number is 36.

And I drew the purple one to the next one twice so be careful it's 37 in the picture because I doubled one connection.

Avatar of ZyzomysAbyss
Really hard to count all those lines though
Avatar of leankata
songdamei hat geschrieben:
Really hard to count all those lines though

I actually made a mistake but now it's corrected, just reload and count from each person's color.

Avatar of breezehappysquirrel
Lmao 🤣
Avatar of DumDolphin09

It’s ok, I’m bad at math too buddy

Avatar of SriyoTheGreat

It will be 8+7+6+5+4+3+2+1+0=36

If you think about it, one guy will shake hands 8 times, then the next guy will shake hands 7 more times since has had already shook first guys hand, then third guy will shake hands 6 times using same logic... and so on.

Avatar of SriyoTheGreat
songdamei wrote:
You don’t have to use fancy terms to get a good solution

Those are not fancy terms, in fact they make solutions more efficient. You might think it's easy to calculate the solution for 9 handshakes, but imagine if you have to calculate for 100 people now, obviously you can't just go with brute addition,

Avatar of TOADINATER

I was given blue gift with bow and breakfast and peace award thing from gnchessminator I dont know how this happened

Avatar of DeltaCrimson

#45 "with each other only once" his explanation makes sense.

Avatar of ZyzomysAbyss
#44 I meant you don’t have to say a binomial coefficient is the only solution to the problem
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