In a meeting of 14 people, if they will all shake each other hands this number will be how many?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
This is a combination problem
every individual gets to shake hands and "interact" with 13 others
Also please specify the number of possible ways in which handshake can be done or number of handshakes this wording is f:ed up
Not the answer you are looking for? Search for more explanations.
Your wording seems to imply just multiply by 2 the number of hands or handshakes
For the first person,
handshakes=13(you can't shake hands with yourself, well technically you can but we won't count that here)
For the second person, as he has already shaked hands with first person, he needs to shake hands with
you can keep going on on with this and basically this amounts to
hint: Remember 2 things for the "handshake problem" for a group of n people
1. Everyone shakes hands with (n-1) othes, so there are n(n-1) "shakes".
2. Since we have counted the handshakes from both ends of the shake, we have double counted, so the above number must be divided by two to get the true number of hand shakes.
Take the example for 6 people below:
The above diagram shows a complete graph of order 6, equivalent to 6 people. Each side/diagonal represents a handshake between the people from A to F. The number of lines is the number of handshakes we're after.
For six people, the number of handshakes is n(n-1)/2 = 6*5/2=15.