The Feast Of Kings!

In a "Feast of Kings" organized By Calvin Lin , he Invites 8 Of the Brilliant Members Namely, Jon Haussmann , Sandeep Bhardwaj , Brain Chalesworth , Ronak Agarwal , Deepanshu Gupta , Pratik Shastri , Azhaghu Roopesh And Vraj Mehta

In this group of 9 Math lovers, each speaks at most 3 Languages.
Any two of them speak at least 1 language in common.

Azhaghu Roopesh wants to know:

Let n be the most number of people who speak any language. Find the minimum value of n.

Can you help him out?


The answer is 5.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

4 solutions

Adit Mohan
Mar 14, 2015

Just an outline of my idea.
.
we will need a total of five languages represented by the.
3 circles, hollow oval, and hollow triangle.
the 9 people are represented by the red dots(inside intersections of 3 languages).
no of people for each language =5 hence answer =5.

Timothy Zhou
Feb 29, 2016

Well, the answer was clearly either 4 or 5. And it wasn't 4. So...

Ankita Sharma
May 8, 2015

well... that was just a guess!! sorry ... couldn't help

Noel Lo
Apr 20, 2015

OMG I randomly guessed 5!!!!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...