• Interested in being a marker for this year's BoS Maths Trials?
    Let us know before 31 August, see this thread for details

are we required to prove the php in an exam? (1 Viewer)

jane1820

#1 Chase Atlantic Lover
Joined
Jul 15, 2024
Messages
2,037
Location
Chase Atlantic’s rarri
Gender
Female
HSC
2026
the syllabus states:
Screenshot 2025-04-26 at 3.22.18 pm.png
does this mean that my teacher can bring in a question where it says 'prove the pigeonhole principle'?
i watched some youtube videos and read a couple of articles but no one proves (without induction) the pigeonhole principle as 'actual' math just some silly short sentences to better visualise
 

liamkk112

Well-Known Member
Joined
Mar 26, 2022
Messages
1,098
Gender
Female
HSC
2023
the syllabus states:
View attachment 47475
does this mean that my teacher can bring in a question where it says 'prove the pigeonhole principle'?
i watched some youtube videos and read a couple of articles but no one proves (without induction) the pigeonhole principle as 'actual' math just some silly short sentences to better visualise
i think u just need to be able to express why the principle works
something like this:
suppose we have n pigeonholes and n+1 pigeons. pick n of the n+1 pigeons. in the worst case put them into their own pigeonholes (if they ever share a pigeonhole in this step then the result already holds). now every pigeonhole is occupied by one pigeon, so the last pigeon has to share with one other pigeon, meaning we have found a pigeonhole that holds 2 or more pigeons
 

NotBamboo

Well-Known Member
Joined
Apr 2, 2025
Messages
433
Gender
Undisclosed
HSC
2026
the syllabus states:
View attachment 47475
does this mean that my teacher can bring in a question where it says 'prove the pigeonhole principle'?
i watched some youtube videos and read a couple of articles but no one proves (without induction) the pigeonhole principle as 'actual' math just some silly short sentences to better visualise
new pfp wow

idk we never got a question like that
personally use stuff like
n+1
n/k
by PHP
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top