Discrete Mathematics Lecture 7 | What is Pigeon Hole Principle | Pigeon Principle By GP Sir

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This video lecture on Discrete Mathematics B Tech | What is Pigeon Hole Principle - By Dr.Gajendra Purohit | Discrete Mathematics in hindi | Discrete Mathematics By GP Sir | Examples | Definition With Examples | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. Definition of Discrete Mathematics
2. What is Discrete Mathematics
3. What is Pigeon Hole Principle With Examples
4. Definition of Pigeon Principle With Examples
5. This is helpful For B.Sc & Engineering Mathematics
6. This is Part Of Discrete Mathematics B Tech
7. Pigeon Principle in discrete mathematics in hindi
8. Pigeon Principle in discrete mathematics with example

#Discrete #Mathematics #BTech #ShortTrick #Engineering #BSCMaths #GATE #IITJAM #CSIRNET

➡️ This Playlist of Discrete Mathematics Will Consists of the following Videos :-
1) Discrete Mathematics Sets, Function & Relation.
2) Discrete Mathematics Hasse Diagram, Lattice & Combinations
3) Discrete Mathematics Propositioned Logic
4) Discrete Mathematics Finite State Machine
5) Discrete Mathematics Recurrence Relation & Generating Function
6) Discrete Mathematics Graph Theory

➡️ This Video is helpful for :-
1) Discrete Mathematics for bsc 3rd Year
2) Discrete Mathematics for bsc 2nd Year
3) Discrete Mathematics for bsc 1st Year
4) Discrete Mathematics for B.Sc. Engineering
5) Discrete Mathematics for B Tech 2nd Year

This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants.

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Time Stamp
0:00 - An introduction
0:38 - Pigeonhole principal with example
3:32 - Generalized pigeonhole principal
4:01 - Q1. Based on pigeonhole principal
6:12 - Q2. Based on pigeonhole principal
7:16 - Q3. Based on pigeonhole principal
8:38 - Q4. Based on pigeonhole principal
9:55 - Q5. Based on pigeonhole principal
11:20 - Detailed about old videos

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Dr.Gajendra Purohit

[jatinRaghuwanshi]

In question 2 answer will be 52 (choosing worst-case scenario) = 10 blue + 8 green + 11 red + 11 yellow + 11 white + 1 (any) = 52 (this will have 12 balls of the same colour. )

[gamersgame]

6:14 in question 2 if we had to choose 12 balls of identical colors then there are no 12 balls of blue and green so we can't take 12 balls from each of either of the sets, in the worst case we can have 8 green, 10 blue, 11 red, 11 yellow, 11 black which still does not gurantee of having 12 identical balls but addition of 1 extra balls gurantees the same, so ans will be 8+10+(3*11)+1 = 52 balls

[vaibhavsharma-yz]

sir easy topics ko complex krke aapse better koi nhi bata skta 👏

[aamirahmed]

Regarding the questions involving different color balls we did 5*11 this ensures that for each of the types of colored balls there are 11 balls present but that's not in the case of blue and green ....so I think the minimum numbers of balls will be 10 blue + 8 green + 11 of each red, yellow and white which makes it 51 and now if we add another of the white, red or yellow ball which are remaining we get 12 balls of same color so ans = 51+1 = 52. Plz clarify me if I am wrong.

[prathamsharma]

Last question right explaination:- so we have to allot 26 students 50 rooms at alternate positions, we have 25 alternate positions and students are 26 so 26/25 means atleast one room will contain ateast 2 students but it can't so we need an extra room but it can't be at alternate positions so 2 allotments atleast will be consicutive.

[kumarankit]

sir greatest integer value will give floor value and not ceiling. [1.5]=1, not 2. am i right sir?

[Khyatii_Verma]

greatest integer values are taken wrongly in all problems

[aryankhandelwal]

the function is not greatest integer it is ceiling function which you have used .

[TechSkillsVault]

Great Teacher! I just found your channel helpful in this course discrete mathematics. You teach us with examples and the concept is fastly cleared. on the other hand, many teachers take our hours and we spent but we don't undersatnd the concept. but you cleared this 1:30 lecture to 12: 00 and we thoroughly understood!

[anmol_]

Question no. 2 ka answer 52 hoga
10+8+11+11+11=51 then +1 i.e. 52
Please check...

[CBI]

Congratulations sir touch board lenge ke liye isse hamlog ki padhi bahut asnan ho jayega sir apase ek request hai ki patana jo bhi videos hai usko ek bar is per padha de 🙏🙏🙏🙏🙏🙏🙏

[Vixdy_Human]

The peep sound at 3:59 was so funny lmao :))))🤣🤣🤣🤣🤣

[tddecorating]

Sir Show that if any five integers from 1 to 8 are chosen, then at least two of them will have a sum 9. question ka solution explain kijiye

[ce__prasenjitroy]

Thank you so much sir ji 🤗❤ aap na rehte to kyayi bole aab ❤🤗 thanks a lot for available on YouTube 😇

[rajeevlalawat]

Greatest integer function ❌ ceiling function ✅

[nikunjdubey]

Your videos are really helpful for us
Thank you so much sir ❤

[wecodedaily]

it's not greatest integer of x. it is ceil(x)

[sawarayousaf]

Thank you sir, you are teaching very well 🙂

[sohamsarkar]

Sir in question 2 there were only 10 blue balls and 8 green balls so they cannot be stacked up to 12 then there must be some other calculation to find a way around it

[asharamlahare]

Thank you sir ji bahut sahi se samajh aya