Friday

April 18, 2014

April 18, 2014

Posted by **Ken** on Sunday, October 18, 2009 at 11:36pm.

Fourteen people attend a meeting. If each person shook hands with every other person, how many handshakes were there altogether?

- maths -
**Reiny**, Sunday, October 18, 2009 at 11:47pmIn combination notation, that would be

C(14,2) = 14!/(12!2!) or 91

Or

Each of the 14 people can shake hands with 13 other people, that would be 14x13 = 182 handshakes.

But that would be all cases of A shaking with B and B shaking with A, that is, we care counting each handshake twice.

So divide the 182 by 2 to get 91

**Related Questions**

math - At a party, there were 105 handshakes. If each person shook hands exactly...

7th grade - At a party, there were 105 handshakes. If each person shook hands ...

math - How many people were at a party if There were 105 handshakes at a party ...

math - taylor was having a party.she invited 20 friends to her party, if each ...

maths - Dear Sir I need help for the below questions Please help thanks larry ...

math - If 8 people went to a party and each person shook hands at least one time...

math - There are n people in a room. Each person will shake hands with every ...

MAth - 14 students in an Algebra class were asked to shake hands with each other...

Education Psychology - Steve ponders a math problem that asks for the number of ...

Math - A sociology seminar has 7 members (a) They begin each meeting with each ...