All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Handshakes #2 (Posted on 2024-06-08) Difficulty: 3 of 5
Refer to Handshakes, in which:

The Smiths, the Andrings and the Cliffords all hold a big party. Everyone shakes hands with every member of the other two families (no one shakes hands with members of their own family), 142 handshakes in all.

Assuming that there at least as many Andrings as Smiths, and at least as many Cliffords as Andrings, determine:

A) Is there any number larger than 142 handshakes that still leads to a unique solution?

(B) What is the largest number of handshakes if we are told that there is a different number of people in each family?

(C) What is the largest number leading to a unique solution if we know that there are at least 2 people in each family?

(D) What is the maximum if there are 4 families, each with at least 2 members, and each with a different number of members?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: GreatK Sengupta2024-06-13 19:39:23
GreatTatiana Espinoza2024-06-13 11:55:33
re: computer findingsK Sengupta2024-06-10 13:20:29
Some Thoughtscomputer findingsCharlie2024-06-08 21:57:54
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information