Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

30 former classmates gathered to celebrate the anniversary of their school graduation. Each of them greeted and shook hands with every other without any exceptions how many handshakes were exchanged when everyone was finished?
Note: When person A shakes with person B, person B is also shaking with person A. It is counted as one handshake.

Sagot :

sebastiangoicoe

The answer is 435 handshakes when everyone was finished. I hope this is correct.
Hippalectryon
Let's pick one person at random and call it the 'first'.

That person shakes hands with 29 other classmates.

Take another person different from the first, we'll call him the 'second'. Since he has already shaken hands with the first, he shakes hands with 28 other classmates.

The 'third' person will likewise shake hands with 27 other classmates, and so on.

Hence, the total number of handshakes is 29+28+27+...+2+1 = 29*30/2=435 handshakes
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.