Quiz the handshake problem !!!

I THINK AROUND 132 PEOPLE ARE THERE, BECAUSE ONE HANSHAKES NEED 2 PEOPLE

NOW U TELL THE ANSWER,

and if one person can shake hands more then 1 people then, answer will be different

REGARDS,

Mansi batra

Thanks Mansi for reply. However it is not correct as per the answer with me.

Let's wait for some more replies...after that i'll share the answer.

RG

Handshakes are used traditionally as greetings, but they are also used to seal an agreement when a business transaction has been mutually accepted. A handshake is sometimes used to characterize the personality of an individual. A firm handshake is interpreted to indicate an assertive person or an extroverted personality, whereas a less firm or limp handshake is viewed as a sign of weakness and lack of confidence. Some diseases, such as influenza, can be spread by shaking hands with an infected individual and then touching one's face. (See Hygiene)

With two people (A and B), there is one handshake
   (A with B).

With three people (A, B, and C), there are three handshakes
  (A with B and C;   B with C).

With four people (A, B, C, and D), there are six handshakes
  (A with B, C, and D;   B with C and D;   C with D).

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n²+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.