SOLUTION: Hello. Please help me on my Pre-Algebra homework problem. Here's the problem: Eight people meet at a party. Each person shakes hands with each of the others exactly once. Which ge

Question 22108: Hello.
Please help me on my Pre-Algebra homework problem. Here's the problem: Eight people meet at a party. Each person shakes hands with each of the others exactly once. Which geometry problem seems most closely related to the handshake problem?..Appreciate your help and time.
Khang
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
YOU ONLY WANT AN ANALOGY IN GEOMETRY ..NOT THE SOLUTION TO THE PROBLEM ..OK...GOOD
YOU CAN CONSIDER 8 PEOPLE AS 8 POINTS SO PLACED THAT NO 3 OF WHICH ARE COLLINEAR.THAT IS NO 3 OF THEM WILL LIE ON ONE STRAIGHT LINE.NOW IF YOU TRY TO FIND THE NUMBER OF DIFFERENT STRAIGHT LINES YOU CAN DRAW THROUGH THEM ,IT WILL BE SIMILAR TO YOUR HAND SHAKE PROBLEM.SINCE TO GET ONE STRAIGHT LINE EACH POINT (OR EACH PERSON)HAS TO BE JOINED (SHAKE HANDS) WITH EACH OTHER POINT (EACH OTHER PERSON )AND IT HAS TO BE ONLY ONCE TO GET DIFFERENT STRAIGHT LINES 9 OR DIFFERENT SHAKES).FURTHER IF A POINT A ( OR PERSON A )IS JOINED TO POINT B ( OR PERSON B )WE GET ONE LINE (ONE SHAKE HAND)AND IT IS SAME AS JOINING (SHAKING HAND )POINT B(OR PERSON B)TO POINT A (OR PERSON A)AS WE GET THE SAME LINE (OR SAME SHAKE ) WHICH IS NOT ALLOWED AS PER THE PROBLEM.SO THE 2 EXAMPLES WILL MATCH EACH OTHER EXACTLY.
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