A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
What is Pigeonhole Principle?
anonymous
 4 years ago
What is Pigeonhole Principle?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Hmmm.I think its when some x terms are are put into n pigeonholes where x is always greater than n...so 1 pigeonhole must contain more than 1 x item .........

karatechopper
 4 years ago
Best ResponseYou've already chosen the best response.0u mean the text way or your mathematical term bhaiya??

mathmate
 4 years ago
Best ResponseYou've already chosen the best response.0Basically it says: When you have n items to be placed in n1 locations, at least one location will contain two or more items. Example: if you try to put 10 pigeons in 9 holes, you will end up with at least one pigeonhole containing 2 or more pigeons. Example quiz using the pigeonhole principle: Five points are marked on a sphere. Show that it is always possible to draw a circle on the surface of the sphere such that at least four points are on one side of the circle. Assume that a point on the circle itself is considered to be on either side.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ishaan, exercise for you, prove that in a group of 6 people there must be at least 2 people who has same amount of friends. Do you need to know this principle for JEEEE?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0formulation and examples.If n pigeons are put into m pigeonholes (n greater than m), there's a hole with more than one pigeon

mathmate
 4 years ago
Best ResponseYou've already chosen the best response.0Correction to formulation of example problem. Five points are marked on a sphere. Show that there is a hemisphere that contains at least four points, assuming that points at the intersection of the hemispheres is considered to be on both hemispheres.

mathmate
 4 years ago
Best ResponseYou've already chosen the best response.0Another one: Five points are drawn inside of a square of side 1 cm. Show that there are two points which are less than 0.75 cm apart.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It has 4 forms. The basic one says that if there are nk + 1 pigeons and n pigeonholes then there are at least k pigeons in 1 pigeonhole.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.