







Shaking hands at a party 
20141203 

From Nazrul: At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Please help me. Answered by Penny Nom. 





How many handshakes took place? 
20090415 

From wm: Suppose every member of the House of Representatives shakes
hands with every other member exactly once.
How many handshakes took place ? Answered by Penny Nom. 





How many handshakes take place? 
20080626 

From Peter: Eight people of different heights are at a party. Each person decides to only shake hands with people shorter than him/herself. How many handshakes take place?
My math book says it is 0. Is it wrong? If so, what is the answer? Answered by Harley Weston. 





Handshakes at a twenty person party 
20080225 

From Chris: Twenty people have gathered at a party. Find the number of handshakes when each person shakes hands with everyone else at the party. Answered by Penny Nom. 





A handshake problem 
20030331 

From Jaylan: Suppose you and your partner attend a party with n other couples. Several handshakes took place. No one shook hands with himself (or herself) or with their partner, and no one shook hands with the same person more than once. After all the handshaking was completed, suppose you asked each person, including your partner, how many hands they had shaken. Each person gave a different answer.
Determine how many hands did you shake and how many hands did your partner shake when n=5 Answered by Penny Nom. 





A handshake problem 
19990105 

From Nick Lam: There are 40 people at a party. 1 host couple, a mom and her daughter. There are 19 other guest couples, composed of moms and their daughters. The Host couple shakes hands with everyone except each other. Each guest mom shakes hands with everyone but their own daughter. Each guest daughter shakes hands with everyone except their own mom. A hand shake between two people is considered to be one handshake. HOW MANY HANDSHAKES ARE THERE? Answered by Penny Nom. 

