HandShakes Problem

Originally posted by Lord Burn
The <b> blah <b> i did was to try to make it bold.
Oops, oh well.😛

Never mind! 🙂

Originally posted by Master of Golden Sun
If there are 100 people from Hollywood at a party and each shakes the hand of every other person, how many handshakes take place?

1.) Total Handshakes = ________________________________________
Show all work here:

2.) What meathod did you use to solve this problem? You must use complete sentences.

Thanx. And You can thank me Lord ...[text shortened]... e master of Golden Sun no one can beat me not The Fusion Dragon not Deadbeard nobody. HA HA HA !

100x99=9900

Originally posted by Cradle324
100x99=9900

You have counted every handshake twice.
So we must divide by 2 to get 4950.

Another way to think of it is the number of ways to choose 2 people from 100.
The formula is 100 Choose 2 = 100! /(98! * 2!) = 100 x 99 / 2 = 4950

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