Question

Every living person has shaken hands with a certain number of other persons. Prove that count of number of people who have shaken hands an odd number of times must yield an even number

Answer 1

well ! there is not any explaination according to me which can mathematically prove this . But what I can do is trick this question little bit . may be it will sound trivial but thats what pretty much in !

Step-by-step explanation:

Lets assume my name is Aanya .

another person comes his name is jim .

another person comes his name is Mr Chaterjee .

another person , his name is Mr Mukherjee .

So , as I know these people ;

I know that aanya have shook hands with seven thousand and fifteen people .

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I have to prove that these number yield an even number . As we are not given in any kind of constraint in this question . like number should be added or subtracted or number should be in words form or numerical form , we can do litrally anything . This is what the advantage of a seemingly difficult and unclear looking question .

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Lets take Aanya first ,

Aanya shook hands with seven thousand and fifteen people .

now

s-e-v-e-n t-h-o-u-s-a-n-d and f-i-f-t-e-e-n contains of twenty three numbers . twenty three contains 11 numbers . eleven contains 6 numbers . six contains 3 numbers . Three contains 5 numbers , five contains 4 numbers and four contains 4 numbers .

4 is an even number . we just proved that seven thousand fifteen which was an odd number , yielded to an even number .

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If you take any number of this world or any word of this world will always yield to number 4 which is an even number .