Handshake problem Handshake problem


Handshake problemHandshake problem



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Suppose there are n people in the party. The first person shakes hand with the other (n-1) guests. The second guest shakes hand with the other (n-2) guests. this will continue until the (n-1)-th guest shakes hand with the nth guest.

Total number of handshakes is (n-1) + (n-2)... + 3 + 2 + 1.

= (n-1)(n)/2

For example, 6 people in a party shake hand with other guests. So how many handshakes will be there?

=(6-1)(6)/2

=15.

ഏതാനും പേര്‍ തമ്മില്‍ പരസ്പരം ഹസ്തദാനം നടത്തിയാല്‍ ആകെഹസ്തദാനങ്ങളുടെ എണ്ണംകാണുവാനുള്ള സൂത്രവാക്യമാണ് 
(n-1)(n)/2
ഇവിടെ ' n ' എന്നത് ആളുകളുടെ എണ്ണമാണ്.
ഉദാഹരണത്തിന് 6 പേര്‍ പരസ്പരം ഹസ്തദാനം നടത്തിയെങ്കില്‍ ആകെ ഹസ്തദാനം

=(6-1)(6)/2

=15.

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