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anonymous

  • 4 years ago

What is Pigeonhole Principle?

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  1. anonymous
    • 4 years ago
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    Are you still there?

  2. anonymous
    • 4 years ago
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    I guess not...

  3. King
    • 4 years ago
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    Hmmm.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 .........

  4. karatechopper
    • 4 years ago
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    u mean the text way or your mathematical term bhaiya??

  5. mathmate
    • 4 years ago
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    Basically it says: When you have n items to be placed in n-1 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.

  6. anonymous
    • 4 years ago
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    Ishaan, 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?

  7. anonymous
    • 4 years ago
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    formulation and examples.If n pigeons are put into m pigeonholes (n greater than m), there's a hole with more than one pigeon

  8. mathmate
    • 4 years ago
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    Correction 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.

  9. mathmate
    • 4 years ago
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    Another 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.

  10. anonymous
    • 4 years ago
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    It 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.

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