IIT JEE , AIEEE Forum - Physics , General

laksy

Everyman who lived on earth has made a certain number of Handshakes Prove that the no.of men who made an odd no.of handshakes is even!

chimanshu_007

Hii

the total no. of handshake participations are even (= to 2.no of handshakes)

as it is even...so sum of all participations will be even (coz no. of handshakes is even)

the sum of participations by men having odd number is an even no. (= to even no - even no)

so the no. of men having odd no. of handshakes must be even for their sum to be even

in simple language

handshake 2 insaano se hota hai....so total no. is even

that means jin logon ne even no of handshakes kiye hain....unka sum even hoga (simple baat hai)

toh total sum even banane k liye ,( odd no. of handshakes wale insaano ka ) unka number bi even hoga

agar no. even hai toh total no of persons bi even honge

rooney

cooldudeyo

good thinking

rooney

But these things look good only on paper.

For example , this logic,

the total no. of handshake participations are even (= to 2.no of handshakes)

may not be necessarily true. Total no. of handshake participants maybe odd and no. of handshakes may still be even.

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